## Journal of Mathematical Biology

 Short Title: J. Math. Biol. Publisher: Springer, Berlin/Heidelberg ISSN: 0303-6812; 1432-1416/e Online: http://link.springer.com/journal/volumesAndIssues/285 Comments: Indexed cover-to-cover
 Documents Indexed: 3,298 Publications (since 1974) References Indexed: 2,752 Publications with 92,518 References.
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### Authors

 30 Maini, Philip Kumar 29 Metz, Johan A. Jacob 28 Diekmann, Odo 28 van den Driessche, Pauline 25 Byrne, Helen Mary 24 Gyllenberg, Mats 24 Lewis, Mark Alun 21 King, John Robert 21 Mackey, Michael Charles 20 Smith, Hal Leslie 19 Othmer, Hans G. 19 Thieme, Horst R. 18 Cushing, Jim M. 17 Hadeler, Karl-Peter 17 Stadler, Peter F. 16 Levin, Simon Asher 16 Nagylaki, Thomas 16 Ruan, Shigui 15 Bacaër, Nicolas 15 Murray, James Dickson 14 Edelstein-Keshet, Leah 14 Hillen, Thomas 14 Huber, Katharina T. 14 Lutscher, Frithjof 14 Wolkowicz, Gail S. K. 13 Chaplain, Mark A. J. 13 Gourley, Stephen A. 13 Hastings, Alan Matthew 13 Hsu, Szebi 13 Keener, James P. 13 Liberman, Uri 13 Moulton, Vincent L. 13 Perelson, Alan S. 12 Cosner, Chris 12 Geritz, Stefan A. H. 12 Griffiths, Robert C. 12 Hellmuth, Marc 12 Hethcote, Herbert W. 12 Hofbauer, Josef 12 Lessard, Sabin 12 Mimura, Masayasu 12 Schreiber, Sebastian J. 12 Sherratt, Jonathan A. 12 Steel, Michael Anthony 11 Broom, Mark 11 Ermentrout, George Bard 11 Li, Bingtuan 11 Méléard, Sylvie 11 Pugliese, Andrea 11 Semple, Charles 10 Bürger, Reinhard 10 Hening, Alexandru 10 Lou, Yuan 10 Notohara, Morihiro 10 Oster, George F. 10 Shi, Junping 10 Sleeman, Brian David 10 Weinberger, Hans Felix 10 Zhao, Xiao-Qiang 9 Baake, Ellen 9 Cantrell, Robert Stephen 9 Cressman, Ross 9 Dieckmann, Ulf 9 Kisdi, Éva 9 Kuang, Yang 9 Lui, Roger 9 Roberts, Michael George 9 Webb, Glenn Francis 9 Zou, Xingfu 8 Alt, Wolfgang 8 Ball, Frank G. 8 Castillo-Chavez, Carlos 8 Clote, Peter G. 8 Cooke, Kenneth L. 8 De Leenheer, Patrick 8 Friedman, Avner 8 Hallam, Thomas G. 8 Heesterbeek, J. A. P. 8 Kiss, István Z. 8 Ma, Junling 8 Painter, Kevin J. 8 Preziosi, Luigi 8 Sumner, Jeremy G. 8 Tuljapurkar, Shripad D. 7 Allen, Linda J. S. 7 Banks, Harvey Thomas 7 Beretta, Edoardo 7 Brauer, Fred 7 Busenberg, Stavros N. 7 Calsina, Àngel 7 Capasso, Vincenzo 7 de Roos, André M. 7 Dietz, Klaus 7 Edwards, David Alan 7 Ermentrout, Bard G. 7 Eshel, Ilan 7 Feldman, Marcus W. 7 Feng, Zhilan 7 Golubitsky, Martin A. 7 House, Thomas ...and 4,455 more Authors
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### Fields

 3,217 Biology and other natural sciences (92-XX) 696 Partial differential equations (35-XX) 686 Ordinary differential equations (34-XX) 595 Probability theory and stochastic processes (60-XX) 382 Dynamical systems and ergodic theory (37-XX) 259 Numerical analysis (65-XX) 166 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 154 Combinatorics (05-XX) 144 Systems theory; control (93-XX) 126 Statistics (62-XX) 120 Integral equations (45-XX) 95 Difference and functional equations (39-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 56 Fluid mechanics (76-XX) 55 Operator theory (47-XX) 55 Operations research, mathematical programming (90-XX) 44 Statistical mechanics, structure of matter (82-XX) 39 Computer science (68-XX) 38 Mechanics of deformable solids (74-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 19 Information and communication theory, circuits (94-XX) 18 Nonassociative rings and algebras (17-XX) 18 Classical thermodynamics, heat transfer (80-XX) 11 Group theory and generalizations (20-XX) 9 History and biography (01-XX) 9 Approximations and expansions (41-XX) 9 Functional analysis (46-XX) 9 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 8 Real functions (26-XX) 8 Manifolds and cell complexes (57-XX) 8 Optics, electromagnetic theory (78-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Convex and discrete geometry (52-XX) 6 General topology (54-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Algebraic topology (55-XX) 3 Quantum theory (81-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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2,699 Publications have been cited 43,182 times in 23,786 Documents Cited by Year
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Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
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Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
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A non-local model for a swarm. Zbl 0940.92032
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Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
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Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
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Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
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Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
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Some epidemiological models with nonlinear incidence. Zbl 0722.92015
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A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
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Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
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2001
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
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A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
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The dynamics of density dependent population models. Zbl 0379.92016
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Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
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Optimal control of the chemotherapy of HIV. Zbl 0876.92016
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1997
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
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Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
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1999
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
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1999
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
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1996
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
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1995
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
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2011
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
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1997
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
2005
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
2000
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
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1982
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
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1980
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
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1983
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
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1990
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
1997
Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019
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1983
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
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1981
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
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1989
A selection-migration model in population genetics. Zbl 0325.92009
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1975
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
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2000
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
2016
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
1983
Chaos in three species food chains. Zbl 0823.92030
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1994
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
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2009
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
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2008
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
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2001
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
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The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
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Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
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Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
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1995
On the stability of the cell size distribution. Zbl 0543.92021
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1984
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
2003
On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019
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Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
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1987
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
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2001
Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067
Liu, Meng; Bai, Chuanzhi
2016
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
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Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
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1980
Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122
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Geometric singular perturbation theory in biological practice. Zbl 1311.34133
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Spatial patterning of the spruce budworm. Zbl 0412.92020
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Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases. Zbl 0468.92016
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Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
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Epidemiological models with age structure, proportionate mixing, and cross-immunity. Zbl 0715.92028
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1989
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
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Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053
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Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
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Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
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1983
Persistence in population models with demographic fluctuations. Zbl 0606.92022
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On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023
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1998
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
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1997
Disease transmission models with density-dependent demographics. Zbl 0774.92018
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1992
Isochrons and phaseless sets. Zbl 0345.92001
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1975
On the differential equations of species in competition. Zbl 0344.92009
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1976
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
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1991
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
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2005
Two species competition in a periodic environment. Zbl 0455.92012
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1980
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
2004
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
2006
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
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1990
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003
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2001
Discrete-time travelling waves: Ecological examples. Zbl 0825.92126
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1992
Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028
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2006
Global stability in two species interactions. Zbl 0362.92013
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1976
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
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1985
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
2003
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
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2003
A delayed-recruitment model of population dynamics, with an application to baleen whale populations. Zbl 0337.92011
Clark, C. W.
1976
Persistence in fluctuating environments. Zbl 1232.92075
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2011
The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023
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1997
A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013
Cohen, Donald S.; Murray, James D.
1981
A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Zbl 1489.34120
Yu, Jianshe; Li, Jia
2022
Global dynamics of a generalist predator-prey model in open advective environments. Zbl 1487.35059
Lou, Yuan; Nie, Hua
2022
Long-time behavior of a PDE replicator equation for multilevel selection in group-structured populations. Zbl 07567875
Cooney, Daniel B.; Mori, Yoichiro
2022
On the global attractivity for a reaction-diffusion malaria model with incubation period in the vector population. Zbl 1489.92188
Zhang, Ran; Wang, Jinliang
2022
Operon dynamics with state dependent transcription and/or translation delays. Zbl 1480.92074
Gedeon, Tomáš; Humphries, Antony R.; Mackey, Michael C.; Walther, Hans-Otto; Wang, Zhao
2022
Vectorial crystallization problems and collective behavior. Zbl 1483.74004
De Luca, L.; Ninno, A.; Ponsiglione, M.
2022
Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment. Zbl 1483.92115
Wang, Cuihua; Yuan, Sanling; Wang, Hao
2022
Bifurcation analysis of the predator-prey model with the Allee effect in the predator. Zbl 1489.34075
Sen, Deeptajyoti; Ghorai, Saktipada; Banerjee, Malay; Morozov, Andrew
2022
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements. Zbl 07518277
Dasarathy, Gautam; Mossel, Elchanan; Nowak, Robert; Roch, Sebastien
2022
Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection. Zbl 1496.92041
Arino, Julien; Milliken, Evan
2022
Impact of releasing period and magnitude on mosquito population in a sterile release model with delay. Zbl 07572813
Zheng, Bo
2022
Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029
Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L.
2021
Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189
Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M.
2021
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2021
On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. Zbl 1456.35107
Wang, Zhi-An; Xu, Jiao
2021
Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149
Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
2021
Spatial movement with distributed memory. Zbl 1461.35034
Shi, Qingyan; Shi, Junping; Wang, Hao
2021
Unbounded solutions of models for glycolysis. Zbl 1457.92057
Brechmann, Pia; Rendall, Alan D.
2021
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
2021
Information geometry for phylogenetic trees. Zbl 1460.92141
Garba, M. K.; Nye, Tom M. W.; Lueg, J.; Huckemann, S. F.
2021
Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias. Zbl 1462.35419
Shi, Yangyang; Zhao, Hongyong
2021
Analysis of an age-structured tuberculosis model with treatment and relapse. Zbl 1466.92180
Guo, Zhong-Kai; Xiang, Hong; Huo, Hai-Feng
2021
Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. Zbl 1462.35415
Kumar, Pawan; Li, Jing; Surulescu, Christina
2021
A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226
Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter
2021
A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column. Zbl 1473.35175
Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan
2021
A geometric analysis of the SIRS epidemiological model on a homogeneous network. Zbl 1479.34083
Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia
2021
Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena
2021
Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities. Zbl 1466.34046
Feng, Tao; Charbonneau, Daniel; Qiu, Zhipeng; Kang, Yun
2021
Corrigendum to: “Best match graphs”. Zbl 07340472
Schaller, David; Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F.
2021
Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change. Zbl 1462.92051
Schecter, Stephen
2021
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention. Zbl 1467.92206
Ketcheson, David I.
2021
The structure of infinitesimal homeostasis in input-output networks. Zbl 1467.92083
Wang, Yangyang; Huang, Zhengyuan; Antoneli, Fernando; Golubitsky, Martin
2021
Stationary distributions of persistent ecological systems. Zbl 1467.92241
Hening, Alexandru; Li, Yao
2021
A branching process model for dormancy and seed banks in randomly fluctuating environments. Zbl 1468.92053
Blath, Jochen; Hermann, Felix; Slowik, Martin
2021
Invasive behaviour under competition via a free boundary model: a numerical approach. Zbl 1477.35285
Khan, Kamruzzaman; Liu, Shuang; Schaerf, Timothy M.; Du, Yihong
2021
Trinets encode orchard phylogenetic networks. Zbl 1471.92237
Semple, Charles; Toft, Gerry
2021
Distinguishing level-1 phylogenetic networks on the basis of data generated by Markov processes. Zbl 1471.92236
Gross, Elizabeth; van Iersel, Leo; Janssen, Remie; Jones, Mark; Long, Colby; Murakami, Yukihiro
2021
Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment. Zbl 1471.92349
Shu, Hongying; Ma, Zongwei; Wang, Xiang-Sheng
2021
A dual process for the coupled Wright-Fisher diffusion. Zbl 1465.92068
Favero, Martina; Hult, Henrik; Koski, Timo
2021
Dynamics of a periodic tick-borne disease model with co-feeding and multiple patches. Zbl 1461.92127
Zhang, Xue; Sun, Bei; Lou, Yijun
2021
Spots, stripes, and spiral waves in models for static and motile cells. GTPase patterns in cells. Zbl 1460.92025
Liu, Yue; Rens, Elisabeth G.; Edelstein-Keshet, Leah
2021
A novel mathematical model of heterogeneous cell proliferation. Zbl 1460.92069
Vittadello, Sean T.; McCue, Scott W.; Gunasingh, Gency; Haass, Nikolas K.; Simpson, Matthew J.
2021
Towards a replicator dynamics model of age structured populations. Zbl 1465.92073
Argasinski, Krzysztof; Broom, Mark
2021
A delay model for persistent viral infections in replicating cells. Zbl 1466.92032
Gulbudak, Hayriye; Salceanu, Paul L.; Wolkowicz, Gail S. K.
2021
Stationary distributions via decomposition of stochastic reaction networks. Zbl 1478.92265
Hoessly, Linard
2021
Haldane’s formula in Cannings models: the case of moderately strong selection. Zbl 1479.60150
Boenkost, Florin; González Casanova, Adrián; Pokalyuk, Cornelia; Wakolbinger, Anton
2021
Vaccination and herd immunity thresholds in heterogeneous populations. Zbl 1480.92125
Elbasha, Elamin H.; Gumel, Abba B.
2021
Discrete-time population dynamics of spatially distributed semelparous two-sex populations. Zbl 1470.92266
Thieme, Horst R.
2021
An alternative delayed population growth difference equation model. Zbl 1472.39035
Streipert, Sabrina H.; Wolkowicz, Gail S. K.
2021
An investigation of tuberculosis progression revealing the role of macrophages apoptosis via sensitivity and bifurcation analysis. Zbl 1479.34087
Zhang, Wenjing; Ellingson, Leif; Frascoli, Federico; Heffernan, Jane
2021
Destabilization and chaos induced by harvesting: insights from one-dimensional discrete-time models. Zbl 1457.92141
Jiménez López, Víctor; Liz, Eduardo
2021
Computing nearest neighbour interchange distances between ranked phylogenetic trees. Zbl 07303133
Collienne, Lena; Gavryushkin, Alex
2021
Estimating the extent of glioblastoma invasion. Approximate stationalization of anisotropic advection-diffusion-reaction equations in the context of glioblastoma invasion. Zbl 1459.35360
Engwer, Christian; Wenske, Michael
2021
Fixation probabilities in evolutionary dynamics under weak selection. Zbl 1460.92144
McAvoy, Alex; Allen, Benjamin
2021
Traveling waves in non-local pulse-coupled networks. Zbl 1461.92005
Ding, Yujie; Ermentrout, Bard
2021
Hybrid models of chemotaxis with application to leukocyte migration. Zbl 1460.92031
Lu, Hannah; Um, Kimoon; Tartakovsky, Daniel M.
2021
Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria. Zbl 1460.92125
Youlden, George H.; Ricci, Vito; Xuan, Wang-Kan; Piddock, Laura J. V.; Jabbari, Sara; King, John R.
2021
A non-parametric method for determining epidemiological reproduction numbers. Zbl 1465.92125
Pijpers, Frank P.
2021
The formation of spreading front: the singular limit of three-component reaction-diffusion models. Zbl 1464.35365
Izuhara, Hirofumi; Monobe, Harunori; Wu, Chang-Hong
2021
A reaction-diffusion model of spatial propagation of A$$\beta$$ oligomers in early stage Alzheimer’s disease. Zbl 1464.35349
Andrade-Restrepo, Martin; Ciuperca, Ionel Sorin; Lemarre, Paul; Pujo-Menjouet, Laurent; Tine, Léon Matar
2021
The rigid hybrid number for two phylogenetic trees. Zbl 1460.92142
Huber, Katharina T.; Linz, Simone; Moulton, Vincent
2021
On time-discretized versions of the stochastic SIS epidemic model: a comparative analysis. Zbl 1470.92300
Gómez-Corral, Antonio; López-García, Martín; Rodríguez-Bernal, Maria Teresa
2021
Dynamics of epidemic spreading on connected graphs. Zbl 1464.35356
Besse, Christophe; Faye, Grégory
2021
A systematic search for switch-like behavior in type II toxin-antitoxin systems. Zbl 1466.92061
FitzGerald, Cody E.; Keener, James P.
2021
Indirect identification of horizontal gene transfer. Zbl 1467.92134
Schaller, David; Lafond, Manuel; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc
2021
Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator. Zbl 1472.34092
Kopfová, Jana; Nábělková, Petra; Rachinskii, Dmitrii; Rouf, Samiha C.
2021
Adaptation in a heterogeneous environment I: persistence versus extinction. Zbl 1473.35598
Hamel, François; Lavigne, Florian; Roques, Lionel
2021
Revisiting Shao and Sokal’s $$B_2$$ index of phylogenetic balance. Zbl 1475.92115
Bienvenu, François; Cardona, Gabriel; Scornavacca, Celine
2021
Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit. Zbl 1479.35873
Brocchieri, Elisabetta; Corrias, Lucilla; Dietert, Helge; Kim, Yong-Jung
2021
An all-leader agent-based model for turning and flocking birds. Zbl 1475.92217
Cristiani, Emiliano; Menci, Marta; Papi, Marco; Brafman, Léonard
2021
Incorporating carbon dioxide into a stoichiometric producer-grazer model. Zbl 1475.92207
Davies, Colleen M.; Wang, Hao
2021
Demographic feedbacks can hamper the spatial spread of a gene drive. Zbl 1483.35287
Girardin, Léo; Débarre, Florence
2021
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. Zbl 1432.92020
2020
Invasion analysis on a predator-prey system in open advective environments. Zbl 1458.35427
Nie, Hua; Wang, Biao; Wu, Jianhua
2020
Joining and decomposing reaction networks. Zbl 1439.13080
Gross, Elizabeth; Harrington, Heather; Meshkat, Nicolette; Shiu, Anne
2020
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
2020
Bridging the gap between individual-based and continuum models of growing cell populations. Zbl 1432.92007
Chaplain, Mark A. J.; Lorenzi, Tommaso; Macfarlane, Fiona R.
2020
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
2020
Counting phylogenetic networks of level 1 and 2. Zbl 1455.05006
Bouvel, Mathilde; Gambette, Philippe; Mansouri, Marefatollah
2020
Harvesting and seeding of stochastic populations: analysis and numerical approximation. Zbl 1441.91055
Hening, Alexandru; Tran, Ky Quan
2020
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
2020
On the minimum value of the Colless index and the bifurcating trees that achieve it. Zbl 1443.92126
Coronado, Tomás M.; Fischer, Mareike; Herbst, Lina; Rosselló, Francesc; Wicke, Kristina
2020
Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control. Zbl 1448.34106
Zhang, Xianghong; Liu, Qiyong; Zhu, Huaiping
2020
Evolution of dispersal in spatial population models with multiple timescales. Zbl 1433.92028
Cantrell, Robert Stephen; Cosner, Chris; Lewis, Mark A.; Lou, Yuan
2020
Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009
Hao, Wenrui; Xue, Chuan
2020
Reciprocal best match graphs. Zbl 1433.05303
Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
2020
On the conjecture for the pushed wavefront to the diffusive Lotka-Volterra competition model. Zbl 1431.35070
2020
Best match graphs and reconciliation of gene trees with species trees. Zbl 1434.05035
Geiß, Manuela; Laffitte, Marcos E. González; Sánchez, Alitzel López; Valdivia, Dulce I.; Hellmuth, Marc; Rosales, Maribel Hernández; Stadler, Peter F.
2020
Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions. Zbl 1475.92138
Poggiale, Jean-Christophe; Aldebert, Clément; Girardot, Benjamin; Kooi, Bob W.
2020
Modelling physical limits of migration by a kinetic model with non-local sensing. Zbl 1434.92014
2020
An SIS model for the epidemic dynamics with two phases of the human day-to-day activity. Zbl 1443.92183
Seno, Hiromi
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
2020
The competitive exclusion principle in stochastic environments. Zbl 1435.92092
Hening, Alexandru; Nguyen, Dang H.
2020
Global analysis of a predator-prey model with variable predator search rate. Zbl 1448.34099
Dalziel, Benjamin D.; Thomann, Enrique; Medlock, Jan; De Leenheer, Patrick
2020
Population abundance of two-patch competitive systems with asymmetric dispersal. Zbl 1448.34102
Wang, Yuanshi; Wu, Hong; He, Yiyang; Wang, Zhihui; Hu, Kun
2020
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2020
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
2020
Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047
Knauer, Franziska; Stiehl, Thomas; Marciniak-Czochra, Anna
2020
The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics. Zbl 1435.91030
Varga, Tamás; Móri, Tamás F.; Garay, József
2020
Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks. Zbl 1431.60083
Chen, Xian; Jia, Chen
2020
...and 1447 more Documents
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### Cited by 23,204 Authors

 186 Chen, Lansun 158 Teng, Zhi-dong 109 Li, Wan-Tong 104 Ruan, Shigui 98 Jin, Zhen 95 Jiang, Daqing 95 Zhao, Xiao-Qiang 81 Tang, Sanyi 77 Takeuchi, Yasuhiro 75 Maini, Philip Kumar 73 Lou, Yuan 70 Perthame, Benoît 70 Winkler, Michael 69 Meng, Xinzhu 67 Chaplain, Mark A. J. 67 Shi, Junping 65 Byrne, Helen Mary 65 Wang, Wendi 65 Zou, Xingfu 64 Song, Xinyu 63 Li, Xuezhi 63 Shen, Wenxian 62 Xiao, Yanni 60 Gumel, Abba B. 60 Lewis, Mark Alun 60 Xu, Rui 59 Carrillo de la Plata, José Antonio 59 Chattopadhyay, Joydev 59 Diekmann, Odo 59 Thieme, Horst R. 59 van den Driessche, Pauline 58 Kuang, Yang 56 Gyllenberg, Mats 56 Liu, Meng 56 Wei, Junjie 55 Wu, Jianhong 54 Martcheva, Maia 54 Yuan, Sanling 53 Elaiw, Ahmed M. 53 Mu, Chunlai 52 Smith, Hal Leslie 51 Sherratt, Jonathan A. 51 Wang, Jinliang 49 Kang, Yun 49 Lin, Zhigui 49 Qiu, Zhipeng 49 Sun, Guiquan 49 Zhang, Tonghua 47 Guo, Shangjiang 47 Kuniya, Toshikazu 47 Ma, Wanbiao 47 Wang, Weiming 47 Yuan, Rong 46 Lutscher, Frithjof 46 Webb, Glenn Francis 45 Allen, Linda J. S. 45 Castillo-Chavez, Carlos 45 Cui, Jingan 45 Ha, Seung-Yeal 45 Samanta, Guru Prasad 45 Wang, Yuanshi 44 Bellomo, Nicola 44 Cushing, Jim M. 44 Feng, Zhilan 44 Gao, Shujing 44 Hayat, Tasawar 43 Lin, Guo 43 Volpert, Vitaly A. 43 Yakubu, Abdul-Aziz 42 Banks, Harvey Thomas 42 Zhu, Huaiping 41 Cosner, Chris 41 Freedman, Herbert Irving 41 Liu, Shengqiang 40 Hadeler, Karl-Peter 40 Hillen, Thomas 40 Huo, Hai-Feng 40 Ma, Zhien 40 Simpson, Matthew J. 40 Venturino, Ezio 40 Wang, Feng-Bin 40 Wang, Zhian 39 Chen, Yuming 39 Friedman, Avner 39 Stadler, Peter F. 39 Wang, Ke 38 Cheke, Robert A. 38 Liu, Xianning 38 Mackey, Michael Charles 38 Painter, Kevin J. 38 Yu, Jian-She 37 Cai, Yongli 37 Ducrot, Arnaud 37 Kar, Tapan Kumar 37 King, John Robert 37 Lam, King-Yeung 37 Liu, Qun 37 Zhang, Tailei 36 Dai, Binxiang 36 Du, Yihong ...and 23,104 more Authors
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### Cited in 827 Journals

 1,746 Journal of Mathematical Biology 1,239 Journal of Theoretical Biology 1,099 Mathematical Biosciences 1,021 Bulletin of Mathematical Biology 722 Theoretical Population Biology 716 Journal of Mathematical Analysis and Applications 703 Applied Mathematics and Computation 616 Journal of Differential Equations 574 Nonlinear Analysis. Real World Applications 521 Discrete and Continuous Dynamical Systems. Series B 443 Chaos, Solitons and Fractals 441 Mathematical Biosciences and Engineering 371 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 310 Journal of Biological Dynamics 285 International Journal of Biomathematics 274 Physica D 269 Advances in Difference Equations 257 Computers & Mathematics with Applications 250 Mathematical and Computer Modelling 244 Physica A 233 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 231 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 219 Communications in Nonlinear Science and Numerical Simulation 210 Applied Mathematical Modelling 207 Chaos 197 Journal of Computational and Applied Mathematics 193 Applied Mathematics Letters 184 Mathematical Methods in the Applied Sciences 182 Journal of Biological Systems 162 SIAM Journal on Applied Mathematics 162 Discrete Dynamics in Nature and Society 160 Mathematics and Computers in Simulation 157 Journal of Dynamics and Differential Equations 156 Journal of Difference Equations and Applications 152 SIAM Journal on Applied Dynamical Systems 149 Discrete and Continuous Dynamical Systems 145 Abstract and Applied Analysis 143 Nonlinear Dynamics 135 Journal of Computational Physics 133 Journal of Applied Mathematics and Computing 132 Mathematical Modelling of Natural Phenomena 125 Nonlinear Analysis. Theory, Methods & Applications 123 ZAMP. Zeitschrift für angewandte Mathematik und Physik 121 Biological Cybernetics 120 Applicable Analysis 110 Journal of Nonlinear Science 99 Acta Applicandae Mathematicae 87 Neural Computation 85 SIAM Journal on Mathematical Analysis 85 Journal of Mathematical Chemistry 84 Journal of Statistical Physics 84 Nonlinearity 82 Communications on Pure and Applied Analysis 81 Discrete and Continuous Dynamical Systems. Series S 80 Computational & Mathematical Methods in Medicine 73 Computational and Applied Mathematics 71 Journal of the Franklin Institute 71 Differential Equations and Dynamical Systems 69 Stochastic Processes and their Applications 69 Complexity 67 The Annals of Applied Probability 67 Boundary Value Problems 65 Automatica 64 Mathematical Population Studies 62 Applied Numerical Mathematics 61 Rocky Mountain Journal of Mathematics 60 Journal of Applied Mathematics 58 Journal of Applied Analysis and Computation 56 Proceedings of the American Mathematical Society 56 European Journal of Applied Mathematics 56 Calculus of Variations and Partial Differential Equations 55 Japan Journal of Industrial and Applied Mathematics 54 Mathematical Problems in Engineering 53 Journal of Applied Probability 48 Archive for Rational Mechanics and Analysis 48 Nonlinear Analysis. Hybrid Systems 48 International Journal of Applied and Computational Mathematics 46 Computer Methods in Applied Mechanics and Engineering 44 Journal of Mathematical Physics 44 Journal de Mathématiques Pures et Appliquées. Neuvième Série 43 Acta Mathematicae Applicatae Sinica. English Series 42 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 41 Transactions of the American Mathematical Society 41 Journal of Scientific Computing 40 Advances in Applied Probability 39 Journal of Fluid Mechanics 39 International Journal of Computer Mathematics 39 Journal of Computational Neuroscience 38 Journal of Functional Analysis 38 Ricerche di Matematica 38 Dynamic Games and Applications 38 The Journal of Mathematical Neuroscience 38 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 37 Comptes Rendus. Mathématique. Académie des Sciences, Paris 37 Networks and Heterogeneous Media 37 Kinetic and Related Models 36 Journal of Optimization Theory and Applications 36 Communications in Partial Differential Equations 36 Qualitative Theory of Dynamical Systems 34 Stochastic Analysis and Applications ...and 727 more Journals
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### Cited in 61 Fields

 18,261 Biology and other natural sciences (92-XX) 6,898 Partial differential equations (35-XX) 6,204 Ordinary differential equations (34-XX) 2,811 Dynamical systems and ergodic theory (37-XX) 2,248 Probability theory and stochastic processes (60-XX) 2,048 Numerical analysis (65-XX) 1,191 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,083 Systems theory; control (93-XX) 798 Calculus of variations and optimal control; optimization (49-XX) 757 Integral equations (45-XX) 649 Difference and functional equations (39-XX) 607 Statistics (62-XX) 576 Statistical mechanics, structure of matter (82-XX) 557 Operator theory (47-XX) 504 Fluid mechanics (76-XX) 469 Combinatorics (05-XX) 401 Computer science (68-XX) 286 Mechanics of deformable solids (74-XX) 256 Operations research, mathematical programming (90-XX) 138 Classical thermodynamics, heat transfer (80-XX) 136 Real functions (26-XX) 134 Linear and multilinear algebra; matrix theory (15-XX) 123 Mechanics of particles and systems (70-XX) 100 Global analysis, analysis on manifolds (58-XX) 99 Information and communication theory, circuits (94-XX) 70 Functional analysis (46-XX) 66 Quantum theory (81-XX) 60 Differential geometry (53-XX) 59 Optics, electromagnetic theory (78-XX) 45 Nonassociative rings and algebras (17-XX) 42 General and overarching topics; collections (00-XX) 35 Measure and integration (28-XX) 32 History and biography (01-XX) 32 Approximations and expansions (41-XX) 27 Group theory and generalizations (20-XX) 26 Geophysics (86-XX) 25 General topology (54-XX) 23 Algebraic geometry (14-XX) 23 Integral transforms, operational calculus (44-XX) 23 Manifolds and cell complexes (57-XX) 22 Special functions (33-XX) 19 Mathematical logic and foundations (03-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Commutative algebra (13-XX) 15 Mathematics education (97-XX) 14 Convex and discrete geometry (52-XX) 13 Number theory (11-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Functions of a complex variable (30-XX) 11 Algebraic topology (55-XX) 10 Potential theory (31-XX) 9 Topological groups, Lie groups (22-XX) 8 Associative rings and algebras (16-XX) 7 Sequences, series, summability (40-XX) 6 Relativity and gravitational theory (83-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Abstract harmonic analysis (43-XX) 5 Astronomy and astrophysics (85-XX) 4 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 1 General algebraic systems (08-XX)