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Mathematical Modelling of Natural Phenomena

Short Title: Math. Model. Nat. Phenom.
Publisher: EDP Sciences, Les Ulis
ISSN: 0973-5348; 1760-6101/e
Online: http://www.mmnp-journal.org/component/issues/?task=all&Itemid=121
Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 11 (2016). Print-ISSN until then: 0973-5348.
Documents Indexed: 955 Publications (since 2006)
References Indexed: 542 Publications with 19,919 References.
all top 5

Authors

40 Volpert, Vitaly A.
14 Ibragimov, Ranis N.
12 Banerjee, Malay
10 Morozov, Andrew Yu.
9 Petrovskii, Sergei V.
9 Venturino, Ezio
8 Gorban, Alexander N.
8 Nepomnyashchy, Alexander A.
7 Auger, Pierre M.
7 Kooi, Bob W.
6 Adimy, Mostafa
6 Ducrot, Arnaud
6 Ibragimov, Nail Hairullovich
6 Sequeira, Adélia
6 Stéphanou, Angélique
6 Tyukin, Ivan Yu.
6 Zemzemi, Nejib
5 Aniţa, Sebastian
5 Apreutesei, Narcisa C.
5 Atangana, Abdon
5 Băleanu, Dumitru I.
5 Bocharov, Gennady A.
5 Bravo de la Parra, Rafael
5 Chaplain, Mark A. J.
5 Clairambault, Jean
5 Crauste, Fabien
5 El-Khatib, Nader
5 Kumar, Devendra
5 Nec, Yana
5 Ramm, Alexander G.
5 Simakov, Sergey S.
5 Vassilevski, Yuri V.
5 Vougalter, Vitali
5 Webb, Glenn Francis
4 Aboulaich, Rajae
4 Allali, Karam
4 Banks, Harvey Thomas
4 Boujena, Soumaya
4 Chekroun, Abdennasser
4 Génieys, Stéphane
4 Halanay, Andrei
4 Henry, Jacques
4 Kaźmierczak, Bogdan
4 Kerbal, Sebti
4 Labate, Demetrio
4 Marvá, Marcos
4 Minaev, Sergey S.
4 Panteleev, Mikhail A.
4 Perthame, Benoît
4 Preziosi, Luigi
4 Pujo-Menjouet, Laurent
4 Ruzhansky, Michael V.
4 Singh, Jagdev
4 Torres, Delfim Fernando Marado
4 Tosenberger, Alen
4 Volpert, Vladimir A.
4 Wong, Man Wah
4 Yafia, Radouane
4 Yousfi, Noura
3 Aguiar, Maíra
3 Agur, Zvia
3 Ahmed, Najma
3 Anand, Mohan
3 Angstmann, Christopher N.
3 Area, Iván
3 Ataullakhanov, Fazoil I.
3 Augeraud-Véron, Emmanuelle
3 Boucekkine, Raouf
3 Bouchnita, Anass
3 Bowong, Samuel
3 Bratsun, Dmitry
3 Chechkin, Aleksei V.
3 Cournède, Paul-Henry
3 Crooke, Philip S. III
3 Davidson, Fordyce A.
3 El Guarmah, El Mahdi
3 Farkas, József Zoltán
3 Goldobin, Denis S.
3 Gómez-Aguilar, José Francisco
3 Gonchenko, Sergey V.
3 Gubernov, Vladimir Vladimirovich
3 Hattaf, Khalid
3 Henry, Bruce I.
3 Jungck, John R.
3 Kafi, Oualid
3 Kagan, L.
3 Kim, Nam-Il
3 Kiss, István Z.
3 Kogan, Yuri
3 Kosztołowicz, Tadeusz
3 Letort, V.
3 Lewandowska, Katarzyna D.
3 Lorenzi, Tommaso
3 Makarov, Valeri A.
3 Malchow, Horst
3 Marciniak-Czochra, Anna K.
3 Milner, Fabio Augusto
3 Molahajloo, Shahla
3 Novozhilov, Artem S.
3 Ovsyannikov, Ivan I.
...and 1,706 more Authors
all top 5

Fields

530 Biology and other natural sciences (92-XX)
377 Partial differential equations (35-XX)
188 Ordinary differential equations (34-XX)
142 Fluid mechanics (76-XX)
105 Numerical analysis (65-XX)
97 Dynamical systems and ergodic theory (37-XX)
69 Systems theory; control (93-XX)
68 Probability theory and stochastic processes (60-XX)
55 Operator theory (47-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
47 Mechanics of deformable solids (74-XX)
46 Statistical mechanics, structure of matter (82-XX)
43 Classical thermodynamics, heat transfer (80-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Statistics (62-XX)
21 Real functions (26-XX)
17 General and overarching topics; collections (00-XX)
17 Computer science (68-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Combinatorics (05-XX)
15 Integral equations (45-XX)
15 Quantum theory (81-XX)
13 Mechanics of particles and systems (70-XX)
13 Geophysics (86-XX)
13 Mathematics education (97-XX)
12 Special functions (33-XX)
12 Operations research, mathematical programming (90-XX)
11 Optics, electromagnetic theory (78-XX)
10 Difference and functional equations (39-XX)
6 Integral transforms, operational calculus (44-XX)
6 Functional analysis (46-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Potential theory (31-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
1 Number theory (11-XX)
1 Approximations and expansions (41-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

658 Publications have been cited 4,626 times in 3,844 Documents Cited by Year
New numerical approach for fractional differential equations. Zbl 1406.65045
Atangana, Abdon; Owolabi, Kolade M.
94
2018
Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Zbl 1201.92055
Genieys, S.; Volpert, V.; Auger, P.
93
2006
On nonlinear dynamics of predator-prey models with discrete delay. Zbl 1172.34046
Ruan, S.
79
2009
Inverse stable subordinators. Zbl 1274.60153
Meerschaert, M. M.; Straka, P.
79
2013
Unbounded Laplacians on graphs: basic spectral properties and the heat equation. Zbl 1207.47032
Keller, M.; Lenz, D.
72
2010
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
63
2019
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
55
2011
Regularity and blow up for active scalars. Zbl 1194.35490
Kiselev, A.
55
2010
Epidemiological models and Lyapunov functions. Zbl 1337.92206
Fall, A.; Iggidr, A.; Sallet, G.; Tewa, J. J.
47
2007
A high-order unifying discontinuous formulation for the Navier-Stokes equations on 3D mixed grids. Zbl 1239.76044
Haga, T.; Gao, H.; Wang, Z. J.
46
2011
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
42
2017
Continuous time random walks with reactions forcing and trapping. Zbl 1320.60135
Angstmann, C. N.; Donnelly, I. C.; Henry, B. I.
37
2013
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
37
2019
A different approach to the European option pricing model with new fractional operator. Zbl 1405.91658
Yavuz, M.; Özdemir, N.
37
2018
A survey of methods for deciding whether a reaction network is multistationary. Zbl 1371.92148
Joshi, B.; Shiu, A.
35
2015
The construction of smooth Parseval frames of shearlets. Zbl 1266.42076
Guo, K.; Labate, D.
33
2013
Characterizations of two different fractional operators without singular kernel. Zbl 1423.26015
Yavuz, Mehmet
33
2019
Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense. Zbl 1410.65323
Owolabi, Kolade M.
33
2018
Dynamics of biomembranes: effect of the bulk fluid. Zbl 1231.92014
Bonito, A.; Nochetto, R. H.; Pauletti, M. S.
32
2011
Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077
Perthame, Benoît; Génieys, Stephane
31
2007
Mathematical modeling of leukemogenesis and cancer stem cell dynamics. Zbl 1241.92045
Stiehl, T.; Marciniak-Czochra, A.
31
2012
Facilitating the adoption of unstructured high-order methods amongst a wider community of fluid dynamicists. Zbl 1387.76002
Vincent, P. E.; Jameson, A.
30
2011
A hybrid analytical algorithm for nonlinear fractional wave-like equations. Zbl 1423.65001
Kumar, Devendra; Singh, Jagdev; Purohit, Sunil Dutt; Swroop, Ram
30
2019
Fractional order model of immune cells influenced by cancer cells. Zbl 1418.34033
Ucar, Esmehan; Özdemir, Necati; Altun, Eren
30
2019
Epidemic spread in networks: existing methods and current challenges. Zbl 1322.92076
Miller, J. C.; Kiss, I. Z.
29
2014
Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate. Zbl 1405.76065
Abro, K. A.; Khan, I.; Tassaddiq, A.
28
2018
Nonharmonic analysis of boundary value problems without WZ condition. Zbl 1385.58013
Ruzhansky, M.; Tokmagambetov, N.
27
2017
Atherosclerosis initiation modeled as an inflammatory process. Zbl 1337.92108
El Khatib, N.; Génieys, S.; Volpert, V.
27
2007
Homogenization of a periodic parabolic Cauchy problem in the Sobolev space. Zbl 1203.35026
Suslina, T.
27
2010
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
27
2013
Selection theorem for systems with inheritance. Zbl 1337.92150
Gorban, A. N.
25
2007
Ecoepidemiology: a more comprehensive view of population interactions. Zbl 1384.92060
Venturino, Ezio
24
2016
Global bifurcation for the Whitham equation. Zbl 1283.35108
Ehrnström, M.; Kalisch, H.
24
2013
Epidemiology of dengue fever: A model with temporary cross-immunity and possible secondary infection shows bifurcations and chaotic behaviour in wide parameter regions. Zbl 1337.92126
Aguiar, Maíra; Kooi, Bob; Stollenwerk, Nico
23
2008
Volume filling effect in modelling chemotaxis. Zbl 1184.35166
Wrzosek, D.
23
2010
The intersection of theory and application in elucidating pattern formation in developmental biology. Zbl 1181.35297
Othmer, H. G.; Painter, K.; Umulis, D.; Xue, C.
23
2009
Spatiotemporal dynamics in a spatial plankton system. Zbl 1197.92049
Upadhyay, R. K.; Wang, W.; Thakur, N. K.
22
2010
Analysis of a population model structured by the cells molecular content. Zbl 1337.92174
Doumic, M.
22
2007
Multiphase and multiscale trends in cancer modelling. Zbl 1166.92030
Preziosi, L.; Tosin, A.
22
2009
Properties of discrete framelet transforms. Zbl 1268.42073
Han, Bin
22
2013
Response functions in linear viscoelastic constitutive equations and related fractional operators. Zbl 1462.35294
Hristov, Jordan
22
2019
On spectral stability of solitary waves of nonlinear Dirac equation in 1D. Zbl 1247.35117
Berkolaiko, G.; Comech, A.
22
2012
Approximating the stability region for a differential equation with a distributed delay. Zbl 1187.34097
Campbell, S. A.; Jessop, R.
21
2009
Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency. Zbl 1170.34056
Li, Jing; Zou, X.
21
2009
A minimal model of pursuit-evasion in a predator-prey system. Zbl 1337.92201
Tyutyunov, Y.; Titova, L.; Arditi, R.
21
2007
Dynamical behavior of a stochastic SIRS epidemic model. Zbl 1337.34046
Hieu, N. T.; Du, N. H.; Auger, P.; Dang, N. H.
21
2015
Inside dynamics of delayed traveling waves. Zbl 1278.35044
Bonnefon, O.; Garnier, J.; Hamel, F.; Roques, L.
21
2013
Optimal control in coupled within-host and between-host models. Zbl 1294.49013
Numfor, E.; Bhattacharya, S.; Lenhart, S.; Martcheva, M.
21
2014
Methods of blood flow modelling. Zbl 1384.92024
Bessonov, N.; Sequeira, A.; Simakov, S.; Vassilevskii, Yu.; Volpert, V.
20
2016
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
20
2016
Bifurcation thresholds in an SIR model with information-dependent vaccination. Zbl 1337.92223
d’Onofrio, A.; Manfredi, P.; Salinelli, E.
20
2007
Competition of species with intra-specific competition. Zbl 1337.35068
Apreutesei, N.; Ducrot, A.; Volpert, V.
20
2008
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
20
2013
Spreading speeds and linear determinacy for two species competition systems with nonlocal dispersal in periodic habitats. Zbl 1358.92079
Kong, L.; Rawal, N.; Shen, W.
20
2015
On the use of the Hill functions in mathematical models of gene regulatory networks. Zbl 1337.92082
Santillán, M.
19
2008
Mathematics of Darwin’s diagram. Zbl 1321.92060
Bessonov, N.; Reinberg, N.; Volpert, V.
19
2014
Blood cell dynamics: half of a century of modelling. Zbl 1384.92027
Pujo-Menjouet, L.
18
2016
Generalized elastic model: fractional Langevin description, fluctuation relation and linear response. Zbl 1267.82103
Taloni, A.; Chechkin, A.; Klafter, J.
18
2013
Asymptotic behavior of solutions to diffusion problems with Robin and free boundary conditions. Zbl 1282.35071
Liu, Xiaowei; Lou, Bendong
18
2013
Patterns of zooplankton functional response in communities with vertical heterogeneity: a model study. Zbl 1337.92189
Morozov, A.; Arashkevich, E.
17
2008
Global asymptotic stability of equilibria in models for virus dynamics. Zbl 1337.92216
Prüss, J.; Zacher, R.; Schnaubelt, R.
17
2008
On chemotaxis models with cell population interactions. Zbl 1197.35140
Wang, Z. A.
17
2010
A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. Zbl 1393.35280
Luchko, Yu.
16
2016
An ecoepidemic model with prey herd behavior and predator feeding saturation response on both healthy and diseased prey. Zbl 1384.37112
Banerjee, M.; Kooi, Bob W.; Venturino, E.
16
2017
Examples of Lorenz-like attractors in Hénon-like maps. Zbl 1331.37040
Gonchenko, S. V.; Gonchenko, A. S.; Ovsyannikov, I. I.; Turaev, D. V.
16
2013
On the form of smooth-front travelling waves in a reaction-diffusion equation with degenerate nonlinear diffusion. Zbl 1202.35050
Sherratt, J. A.
15
2010
On the half-plane Dirichlet problem for differential-difference elliptic equations with several nonlocal terms. Zbl 1390.35391
Muravnik, A.
15
2017
Nonlocal problems in the mechanics of three-layer shells. Zbl 1386.35078
Onanov, G. G.; Skubachevskii, A. L.
15
2017
The importance of spatial distribution of stemness and proliferation state in determining tumor radioresponse. Zbl 1165.92022
Enderling, H.; Park, D.; Hlatky, L.; Hahnfeldt, P.
15
2009
Quasichemical models of multicomponent nonlinear diffusion. Zbl 1234.35131
Gorban, A. N.; Sargsyan, H. P.; Wahab, H. A.
15
2011
First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463
Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon
15
2018
On the discrete spectrum of Robin Laplacians in conical domains. Zbl 1390.35208
Pankrashkin, Konstantin
14
2016
Comb model with slow and ultraslow diffusion. Zbl 1386.60287
Sandev, T.; Iomin, A.; Kantz, H.; Metzler, R.; Chechkin, A.
14
2016
Enrichment paradox induced by spatial heterogeneity in a phytoplankton - zooplankton system. Zbl 1337.92192
Poggiale, J.-C.; Gauduchon, M.; Auger, P.
14
2008
Free boundary problems associated with multiscale tumor models. Zbl 1172.35080
Friedman, A.
14
2009
Solvability conditions for a linearized Cahn-Hilliard equation of sixth order. Zbl 1242.47054
Vougalter, V.; Volpert, V.
14
2012
Computational models of sprouting angiogenesis and cell migration: towards multiscale mechanochemical models of angiogenesis. Zbl 1325.92009
Heck, T. A. M.; Vaeyens, M. M.; van Oosterwyck, H.
14
2015
Schrödinger operators on a half-line with inverse square potentials. Zbl 1320.47047
Kovařík, H.; Truc, F.
14
2014
Asymptotic behavior of a discrete maturity structured system of hematopoietic stem cell dynamics with several delays. Zbl 1337.34074
Adimy, M.; Crauste, F.; El Abdllaoui, A.
13
2006
Optimal proliferation rate in a cell division model. Zbl 1337.92048
Michel, P.
13
2006
Wave of chaos and pattern formation in spatial predator-prey systems with Holling type IV predator response. Zbl 1337.35080
Upadhyay, R. K.; Kumari, N.; Rai, V.
13
2008
Usefulness of biocontrol of pests in tea: a mathematical model. Zbl 1337.92184
Maiti, A.; Pal, A. K.; Samanta, G. P.
13
2008
Semigroup analysis of structured parasite populations. Zbl 1187.92079
Farkas, J. Z.; Green, D. M.; Hinow, P.
13
2010
On threshold eigenvalues and resonances for the linearized NLS equation. Zbl 1193.35212
Vougalter, V.
13
2010
Memory effects in population dynamics : spread of infectious disease as a case study. Zbl 1316.92088
Pimenov, A.; Kelly, T. C.; Korobeinikov, A.; O’Callaghan, M. J. A.; Pokrovskii, A. V.; Rachinskii, D.
13
2012
An explicitly solvable nonlocal eigenvalue problem and the stability of a spike for a sub-diffusive reaction-diffusion system. Zbl 1275.35020
Nec, Y.; Ward, M. J.
13
2013
Modeling and analysis of fractional neutral disturbance waves in arterial vessels. Zbl 1447.35336
Song, Feixue; Yu, Zheyuan; Yang, Hongwei
13
2019
On numerical solution of the Gardner-Ostrovsky equation. Zbl 1251.35134
Obregon, M. A.; Stepanyants, Y. A.
13
2012
Investigation of the migration/proliferation dichotomy and its impact on avascular glioma invasion. Zbl 1241.92036
Böttger, K.; Hatzikirou, H.; Chauviere, A.; Deutsch, A.
13
2012
Allee effect in Gause type predator-prey models: existence of multiple attractors, limit cycles and separatrix curves. A brief review. Zbl 1285.92024
González-Olivares, E.; Rojas-Palma, A.
13
2013
Patterns and transitions to instability in an intraspecific competition model with nonlocal diffusion and interaction. Zbl 1336.92065
Aydogmus, O.
13
2015
Contact rate epidemic control of COVID-19: an equilibrium view. Zbl 1467.92193
Elie, Romuald; Hubert, Emma; Turinici, Gabriel
13
2020
Existence of waves for a nonlocal reaction-diffusion equation. Zbl 1232.35181
Demin, I.; Volpert, V.
12
2010
Bifurcations and chaotic dynamics in a tumour-immune-virus system. Zbl 1384.92038
Eftimie, R.; Macnamara, C. K.; Dushoff, Jonathan; Bramson, J. L.; Earn, D. J. D.
12
2016
Operational methods and new identities for Hermite polynomials. Zbl 1384.42017
Cesarano, C.
12
2017
Reaction-difusion model of early carcinogenesis: the effects of influx of mutated cells. Zbl 1337.92047
Marciniak-Czochra, Anna; Kimmel, Marek
12
2008
Mathematical modelling of spatiotemporal dynamics of oxygen in a plankton system. Zbl 1323.92219
Sekerci, Y.; Petrovskii, S.
12
2015
Model reduction of biochemical reactions networks by tropical analysis methods. Zbl 1369.92047
Radulescu, O.; Vakulenko, S.; Grigoriev, D.
12
2015
Necessary optimality conditions for a Lotka-Volterra three species system. Zbl 1201.92058
Apreutesei, N. C.
12
2006
A new mathematical model of syphilis. Zbl 1204.92046
Milner, F. A.; Zhao, R.
12
2010
On a dynamical model of happiness. Zbl 1508.91455
Liz, Eduardo; Trofimchuk, Sergei
1
2023
Scientific breakdown of a ferromagnetic nanofluid in hemodynamics: enhanced therapeutic approach. Zbl 1514.92029
Bhatti, M. M.; Abdelsalam, Sara I.
3
2022
Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition. Zbl 1511.35285
Panasenko, Grigory; Pileckas, Konstantin; Vernescu, Bogdan
2
2022
On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid. Zbl 1511.35266
Abdelsalam, Sara I.; Zaher, A. Z.
2
2022
Optimal control for a bone metastasis with radiotherapy model using a linear objective functional. Zbl 1519.92092
Camacho, A.; Díaz-Ocampo, E.; Jerez, S.
2
2022
Immuno-epidemiological model-based prediction of further Covid-19 epidemic outbreaks due to immunity waning. Zbl 1491.92107
Ghosh, Samiran; Banerjee, Malay; Volpert, Vitaly
1
2022
Dynamics of a stochastic population model with Allee effect and jumps. Zbl 1492.92064
Liu, Rong; Liu, Guirong
1
2022
Spatiotemporal pattern formation in a prey-predator model with generalist predator. Zbl 1487.35062
Manna, Kalyan; Banerjee, Malay
1
2022
A multiple timescale network model of intracellular calcium concentrations in coupled neurons: insights from ROM simulations. Zbl 1511.92022
Bandera, A.; Fernández-García, S.; Gómez-Mármol, M.; Vidal, A.
1
2022
Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source. Zbl 1514.35083
Álvarez, Enrique; Murillo, Ricardo; Plaza, Ramón G.
1
2022
Homogenization of a microscopic pedestrians model on a convergent junction. Zbl 1514.35020
El Khatib, N.; Forcadel, N.; Zaydan, M.
1
2022
Analytical detection of stationary Turing pattern in a predator-prey system with generalist predator. Zbl 1518.35592
Dey, Subrata; Banerjee, Malay; Ghorai, Saktipada
1
2022
Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by \(\alpha\)-stable Lévy processes. Zbl 1519.37051
Yuan, Shenglan; Li, Yang; Zeng, Zhigang
1
2022
On numerical approximation of atangana-baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert space. Zbl 07372369
Al-Smadi, Mohammed; Dutta, Hemen; Hasan, Shatha; Momani, Shaher
8
2021
New exact traveling wave solutions to the (2+1)-dimensional chiral nonlinear Schrödinger equation. Zbl 1473.35513
Rezazadeh, Hadi; Younis, Muhammad; Shafqat-Ur-rehman; Eslami, Mostafa; Bilal, Muhammad; Younas, Usman
7
2021
Parallel time-stepping for fluid-structure interactions. Zbl 1469.76075
Margenberg, Nils; Richter, Thomas
5
2021
New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
4
2021
Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment. Zbl 1475.37101
Ghosh, Jayanta Kumar; Majumdar, Prahlad; Ghosh, Uttam
4
2021
Bifurcation control of a minimal model of marine plankton interaction with multiple delays. Zbl 1469.92138
Jiang, Zhichao; Jie, Maoyan
3
2021
Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations. Zbl 1469.35214
Phuong, Nguyen Duc; Tuan, Nguyen Anh; Kumar, Devendra; Tuan, Nguyen Huy
3
2021
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data. Zbl 1473.65211
Nong, Lijuan; Chen, An; Cao, Jianxiong
2
2021
Owner-intruder contests with information asymmetry. Zbl 1468.91017
Bisen, Jay; Farooq, Faheem; Hasan, Manaeil; Patel, Akhil; Rychtář, Jan; Taylor, Dewey
2
2021
A new approach to the dynamic modeling of an infectious disease. Zbl 1469.92124
Shayak, B.; Sharma, Mohit M.
2
2021
Reproduction number for an age of infection structured model. Zbl 1473.35588
Barril, Carles; Calsina, Àngel; Cuadrado, Sílvia; Ripoll, Jordi
2
2021
Control of traveling localized spots. Zbl 1479.35081
Martens, S.; Ryll, C.; Löber, J.; Tröltzsch, F.; Engel, H.
1
2021
Editorial. Zbl 1465.00017
1
2021
Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system. Zbl 1469.92039
Balci, Ercan; Kartal, Senol; Ozturk, Ilhan
1
2021
Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity. Zbl 1467.92173
Bachraoui, Moussa; Ichou, Mohamed Ait; Hattaf, Khalid; Yousfi, Noura
1
2021
Hopf bifurcation for an SIR model with age structure. Zbl 1467.92180
Cao, Hui; Yan, Dongxue; Xu, Xiaxia
1
2021
A cellular automaton model for a pedestrian flow problem. Zbl 1468.76011
Felcman, Jiří; Kubera, Petr
1
2021
On the initial value problem for fractional Volterra integrodifferential equations with a Caputo-Fabrizio derivative. Zbl 1469.35234
Tuan, Nguyen Huy; Tuan, Nguyen Anh; O’Regan, Donal; Tri, Vo Viet
1
2021
Stability of neutral delay differential equations with applications in a model of human balancing. Zbl 1465.34079
Domoshnitsky, Alexander; Levi, Shai; Kappel, Ron Hay; Litsyn, Elena; Yavich, Roman
1
2021
Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity. Zbl 1473.35441
Galdi, Giovanni P.; Mazzone, Giusy
1
2021
A theoretical investigation of the frisbee motion of red blood cells in shear flow. Zbl 1465.74003
Mignon, Thierry; Mendez, Simon
1
2021
Non-constant positive solutions of a general gause-type predator-prey system with self- and cross-diffusions. Zbl 1471.35130
Xue, Pan; Jia, Yunfeng; Ren, Cuiping; Li, Xingjun
1
2021
Dynamics of a vector-borne model with direct transmission and age of infection. Zbl 1475.37104
Tuncer, Necibe; Giri, Sunil
1
2021
SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity. Zbl 1469.92101
Aziz-Alaoui, M. A.; Najm, F.; Yafia, R.
1
2021
A generalized kinetic model of the advection-dispersion process in a sorbing medium. Zbl 1467.92257
Vieru, Dumitru; Fetecau, Constantin; Ahmed, Najma; Shah, Nehad Ali
1
2021
Effects of heterogeneity and global dynamics of weakly connected subpopulations. Zbl 1471.92288
Bichara, Derdei M.; Iggidr, Abderrahman; Yacheur, Souad
1
2021
Contact rate epidemic control of COVID-19: an equilibrium view. Zbl 1467.92193
Elie, Romuald; Hubert, Emma; Turinici, Gabriel
13
2020
Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping. Zbl 1467.92161
Souna, Fethi; Djilali, Salih; Charif, Fayssal
12
2020
COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability. Zbl 1467.92182
Charpentier, Arthur; Elie, Romuald; Laurière, Mathieu; Tran, Viet Chi
12
2020
Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model. Zbl 1467.92191
Dolbeault, Jean; Turinici, Gabriel
10
2020
A three phase model to investigate the effects of dead material on the growth of avascular tumours. Zbl 1467.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M.
8
2020
A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy. Zbl 1468.92061
Zine, Houssine; Boukhouima, Adnane; Lotfi, El Mehdi; Mahrouf, Marouane; Torres, Delfim F. M.; Yousfi, Noura
8
2020
Growth in the Muskat problem. Zbl 1473.35442
Granero-Belinchón, Rafael; Lazar, Omar
7
2020
On a quarantine model of coronavirus infection and data analysis. Zbl 1467.92229
Volpert, Vitaly; Banerjee, Malay; Petrovskii, Sergei
7
2020
Dynamics of COVID-19 pandemic at constant and time-dependent contact rates. Zbl 1467.92210
Kochańczyk, Marek; Grabowski, Frederic; Lipniacki, Tomasz
7
2020
Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy. Zbl 1467.92101
Stace, Rebecca E. A.; Stiehl, Thomas; Chaplain, Mark A. J.; Marciniak-Czochra, Anna; Lorenzi, Tommaso
6
2020
A class of discrete predator-prey interaction with bifurcation analysis and chaos control. Zbl 1470.37111
Din, Qamar; Saleem, Nafeesa; Shabbir, Muhammad Sajjad
6
2020
Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation. Zbl 1469.37049
Hosseini, K.; Mirzazadeh, M.; Aligoli, M.; Eslami, M.; Liu, J. G.
6
2020
Accounting for symptomatic and asymptomatic in a SEIR-type model of COVID-19. Zbl 1467.92169
Arcede, Jayrold P.; Caga-Anan, Randy L.; Mentuda, Cheryl Q.; Mammeri, Youcef
5
2020
Optimal control for a mathematical model for chemotherapy with pharmacometrics. Zbl 1467.92094
Leszczyński, Maciej; Ledzewicz, Urszula; Schättler, Heinz
5
2020
One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model. Zbl 1468.74084
Gudoshnikov, Ivan; Kamenskii, Mikhail; Makarenkov, Oleg; Voskovskaia, Natalia
4
2020
Immuno-epidemiological model of two-stage epidemic growth. Zbl 1467.92174
Banerjee, Malay; Tokarev, Alexey; Volpert, Vitaly
4
2020
A mathematical model of the beginnings of the coronavirus epidemic in France. (Un modèle mathématique des débuts de l’épidémie de coronavirus en France.) Zbl 1467.92172
Bacaër, Nicolas
4
2020
Newton and Bouligand derivatives of the scalar play and stop operator. Zbl 07372581
Brokate, Martin
4
2020
Control of Nipah virus outbreak in commercial pig-farm with biosecurity and culling. Zbl 1475.37099
Das, Samhita; Das, Pritha; Das, Parthasakha
4
2020
On the maximization problem for solutions of reaction-diffusion equations with respect to their initial data. Zbl 1469.35025
Nadin, Grégoire; Toledo Marrero, Ana Isis
4
2020
On mathematical modelling of temporal spatial spread of epidemics. Zbl 1467.92207
Khachatryan, Kh. A.; Narimanyan, A. Zh.; Khachatryan, A. Kh.
3
2020
Phase transitions in nematics: textures with tactoids and disclinations. Zbl 1473.35522
Golovaty, Dmitry; Kim, Young-Ki; Lavrentovich, Oleg D.; Novack, Michael; Sternberg, Peter
3
2020
Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model. Zbl 1467.92108
Pérez-Beteta, Julián; Belmonte-Beitia, Juan; Pérez-García, Víctor M.
3
2020
A multi-scale model quantifies the impact of limited movement of the population and mandatory wearing of face masks in containing the COVID-19 epidemic in Morocco. Zbl 1473.35589
Bouchnita, Anass; Jebrane, Aissam
3
2020
Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176
Bonnans, J. Frédéric; Gianatti, Justina
3
2020
A theoretical connection between the noisy leaky integrate-and-fire and the escape rate models: the non-autonomous case. Zbl 1473.35571
Dumont, Grégory; Henry, Jacques; Tarniceriu, Carmen Oana
3
2020
Invariant measures for interval translations and some other piecewise continuous maps. Zbl 1475.37005
Kryzhevich, Sergey
2
2020
Hopf bifurcation of an HIV-1 virus model with two delays and logistic growth. Zbl 1469.92126
Sun, Caixia; Li, Lele; Jia, Jianwen
2
2020
Mathematical modelling for coronavirus disease (COVID-19) in predicting future behaviours and sensitivity analysis. Zbl 1467.92208
Khoshnaw, Sarbaz H. A.; Salih, Rizgar H.; Sulaimany, Sadegh
2
2020
Prediction of confinement effects on the number of COVID-19 outbreak in Algeria. Zbl 1467.92218
Moussaoui, Ali; Auger, Pierre
2
2020
Efficiency of hysteretic damper in oscillating systems. Zbl 1493.70080
Semenov, M. E.; Solovyov, Andrey M.; Meleshenko, Peter A.; Reshetova, Olga O.
2
2020
Effects of delayed immune-activation in the dynamics of tumor-immune interactions. Zbl 1470.92071
Das, Parthasakha; Das, Pritha; Das, Samhita
2
2020
Modeling the dynamics of Wolbachia-infected and uninfected Aedes aegypti populations by delay differential equations. Zbl 1469.92103
Benedito, A. S.; Ferreira, C. P.; Adimy, M.
2
2020
Theory of optimal harvesting for a size structured model of fish. Zbl 1468.91108
Liu, Rong; Liu, Guirong
1
2020
Multidimensional play operators with arbitrary \(BV\) inputs. Zbl 07372543
Recupero, Vincenzo
1
2020
Efficiency of cancer treatments: in silico experiments. Zbl 1467.92097
Piretto, Elena; Delitala, Marcello; Ferraro, Mario
1
2020
Fractional order prey-predator model with infected predators in the presence of competition and toxicity. Zbl 1472.34093
Lemnaouar, M. R.; Khalfaoui, M.; Louartassi, Y.; Tolaimate, I.
1
2020
Lifting the COVID-19 lockdown: different scenarios for France. Zbl 1467.92170
Augeraud-Véron, Emmanuelle
1
2020
The impact of competition between cancer cells and healthy cells on optimal drug delivery. Zbl 1473.35591
Cho, Heyrim; Levy, Doron
1
2020
Large deflections of inextensible cantilevers: modeling, theory, and simulation. Zbl 1468.74031
Deliyianni, Maria; Gudibanda, Varun; Howell, Jason; Webster, Justin T.
1
2020
Temporal cavity solitons in a delayed model of a dispersive cavity ring laser. Zbl 1469.78044
Pimenov, Alexander; Amiranashvili, Shalva; Vladimirov, Andrei G.
1
2020
Global stability in a competitive infection-age structured model. Zbl 1469.35028
Richard, Quentin
1
2020
Active control of an improved Boussinesq system. Zbl 1468.76018
Yildirim, Kenan
1
2020
Analysis and simulations with a multi-scale model of canine visceral leishmaniasis. Zbl 1467.92233
Welker, Jonathan Shane; Martcheva, Maia
1
2020
A discrete epidemic model and a zigzag strategy for curbing the Covid-19 outbreak and for lifting the lockdown. Zbl 1467.92178
Boulmezaoud, Tahar Z.
1
2020
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
63
2019
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
37
2019
Characterizations of two different fractional operators without singular kernel. Zbl 1423.26015
Yavuz, Mehmet
33
2019
A hybrid analytical algorithm for nonlinear fractional wave-like equations. Zbl 1423.65001
Kumar, Devendra; Singh, Jagdev; Purohit, Sunil Dutt; Swroop, Ram
30
2019
Fractional order model of immune cells influenced by cancer cells. Zbl 1418.34033
Ucar, Esmehan; Özdemir, Necati; Altun, Eren
30
2019
Response functions in linear viscoelastic constitutive equations and related fractional operators. Zbl 1462.35294
Hristov, Jordan
22
2019
Modeling and analysis of fractional neutral disturbance waves in arterial vessels. Zbl 1447.35336
Song, Feixue; Yu, Zheyuan; Yang, Hongwei
13
2019
Immune response in HIV epidemics for distinct transmission rates and for saturated CTL response. Zbl 1421.35375
Carvalho, Ana R. M.; Pinto, Carla M. A.
7
2019
The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection. Zbl 1447.35030
Nefedov, Nikolay
7
2019
Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling. Zbl 1437.35244
Muravnik, Andrey B.
6
2019
The optimal population size under pollution and migration externalities: a spatial control approach. Zbl 1457.91300
La Torre, Davide; Liuzzi, Danilo; Marsiglio, Simone
5
2019
Geographic environmental Kuznets curves: the optimal growth linear-quadratic case. Zbl 1421.49029
Boucekkine, Raouf; Fabbri, Giorgio; Federico, Salvatore; Gozzi, Fausto
5
2019
A new approach to capture heterogeneity in groundwater problem: an illustration with an Earth equation. Zbl 1470.76096
Atangana, Abdon; Alqahtani, Rubayyi T.
5
2019
Local generalization of transversality conditions for optimal control problem. Zbl 1470.49041
Eroglu, Beyza Billur İskender; Yapişkan, Dilara
4
2019
Initial-boundary value problems for a time-fractional differential equation with involution perturbation. Zbl 1419.35235
Al-Salti, Nasser; Kerbal, Sebti; Kirane, Mokhtar
4
2019
Canards existence in the Hindmarsh-Rose model. Zbl 1423.34074
Ginoux, Jean-Marc; Llibre, Jaume; Tchizawa, Kiyoyuki
4
2019
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Cited by 6,064 Authors

78 Volpert, Vitaly A.
42 Băleanu, Dumitru I.
32 Owolabi, Kolade Matthew
31 Banerjee, Malay
31 Venturino, Ezio
24 Atangana, Abdon
24 Vougalter, Vitali
23 Gómez-Aguilar, José Francisco
21 Morozov, Andrew Yu.
21 Ruzhansky, Michael V.
19 Perthame, Benoît
18 Abdeljawad, Thabet
17 Byrne, Helen Mary
17 Wang, Zhi Cheng
16 Labate, Demetrio
16 Rezapour, Shahram
16 Suslina, Tat’yana Aleksandrovna
16 Trofimchuk, Sergei I.
15 Keller, Matthias
15 Kumar, Devendra
15 Ruan, Shigui
15 Sene, Ndolane
15 Tokmagambetov, Niyaz Esenzholovich
15 Webb, Glenn Francis
14 Chaplain, Mark A. J.
14 Hammouch, Zakia
14 Henry, Bruce I.
14 Kumar Upadhyay, Ranjit
14 Li, Wan-Tong
14 Singh, Jagdev
13 Angstmann, Christopher N.
13 Bocharov, Gennady A.
13 Khan, Muhammad Altaf
13 Preziosi, Luigi
13 Torres, Delfim Fernando Marado
12 Gonchenko, Sergey V.
12 Khan, Ilyas
12 Lorenzi, Tommaso
12 Marciniak-Czochra, Anna K.
12 Winkler, Michael
11 Ducrot, Arnaud
11 Jarad, Fahd
11 Leonenko, Nikolai N.
11 Pirozzi, Enrica
11 Samanta, Guru Prasad
11 Sandev, Trifce
11 Scianna, Marco
11 Wang, Zhijian
11 Wu, Shiliang
11 Zhuang, Xiaosheng
10 Adimy, Mostafa
10 Aniţa, Sebastian
10 Ascione, Giacomo
10 Bao, Xiongxiong
10 Bowong, Samuel
10 Guo, Kanghui
10 Han, Bin
10 Kooi, Bob W.
10 Mackey, Michael Charles
10 Maini, Philip Kumar
10 Nane, Erkan
10 Sooppy Nisar, Kottakkaran
10 Wang, Weiming
10 Ward, Michael J.
9 Aguiar, Maíra
9 Akgül, Ali
9 Allali, Karam
9 Apreutesei, Narcisa C.
9 Bayliss, Alvin
9 Chekroun, Abdennasser
9 Clairambault, Jean
9 Cournède, Paul-Henry
9 Craciun, Gheorghe
9 Deng, Weihua
9 Farkas, József Zoltán
9 Feng, Zhaosheng
9 Kalisch, Henrik
9 Kühn, Christian
9 Kuniya, Toshikazu
9 Mohammadi, Hakimeh
9 Momani, Shaher M.
9 Muravnik, Andreĭ Borisovich
9 Petrovskii, Sergei V.
9 Riaz, Muhammad Bilal
9 Salahshour, Soheil
9 Sequeira, Adélia
9 Simakov, Sergey S.
9 Stollenwerk, Nico
9 Surulescu, Christina
9 Trucu, Dumitru
9 Vermeire, Brian C.
9 Volpert, Vladimir A.
8 Bouchnita, Anass
8 Bravo de la Parra, Rafael
8 Eftimie, Raluca
8 Han, Bang-Sheng
8 Hattaf, Khalid
8 Joshi, Badal
8 Kang, Yun
8 Karev, Georgiĭ Petrovich
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Cited in 473 Journals

139 Mathematical Modelling of Natural Phenomena
139 Journal of Theoretical Biology
129 Journal of Mathematical Biology
128 Chaos, Solitons and Fractals
100 Bulletin of Mathematical Biology
90 Journal of Computational Physics
75 Physica A
74 Advances in Difference Equations
69 Discrete and Continuous Dynamical Systems. Series B
67 Mathematical Biosciences
67 Mathematical Biosciences and Engineering
65 Journal of Mathematical Analysis and Applications
64 Journal of Differential Equations
58 Applied Mathematics and Computation
53 Nonlinear Analysis. Real World Applications
46 Communications in Nonlinear Science and Numerical Simulation
39 Discrete and Continuous Dynamical Systems. Series S
37 Journal of Computational and Applied Mathematics
35 SIAM Journal on Applied Mathematics
34 International Journal of Biomathematics
32 Computers and Fluids
32 Chaos
32 Journal of Biological Dynamics
31 Applied Mathematical Modelling
31 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
30 Journal of Functional Analysis
29 Computer Methods in Applied Mechanics and Engineering
29 Mathematical Methods in the Applied Sciences
29 Mathematics and Computers in Simulation
29 Physica D
29 Journal of Scientific Computing
28 Computers & Mathematics with Applications
27 Nonlinearity
27 Fractals
27 SIAM Journal on Applied Dynamical Systems
27 AIMS Mathematics
23 Discrete and Continuous Dynamical Systems
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Journal of Biological Systems
21 Journal of Mathematical Physics
21 Advances in Mathematics
21 Fractional Calculus & Applied Analysis
21 Discrete Dynamics in Nature and Society
21 Journal of Applied Mathematics and Computing
20 Applicable Analysis
20 International Journal of Applied and Computational Mathematics
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
19 Journal of Dynamics and Differential Equations
18 Journal of Fluid Mechanics
18 Journal of Nonlinear Science
18 Computational and Applied Mathematics
17 Transactions of the American Mathematical Society
17 Applied Numerical Mathematics
17 Applied Mathematics Letters
17 SIAM Journal on Mathematical Analysis
17 Abstract and Applied Analysis
16 Numerical Methods for Partial Differential Equations
15 European Journal of Applied Mathematics
15 Journal of Physics A: Mathematical and Theoretical
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Acta Applicandae Mathematicae
14 Mathematical Problems in Engineering
14 Nonlinear Dynamics
14 Journal of Function Spaces
13 Archive for Rational Mechanics and Analysis
13 Automatica
13 Complexity
13 The Journal of Fourier Analysis and Applications
13 Journal of Mathematics
12 Journal of Statistical Physics
12 Applied and Computational Harmonic Analysis
12 Journal of Mathematical Sciences (New York)
12 Russian Journal of Numerical Analysis and Mathematical Modelling
12 Annales Henri Poincaré
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Journal of Pseudo-Differential Operators and Applications
11 Proceedings of the American Mathematical Society
11 St. Petersburg Mathematical Journal
11 Journal of Mathematical Chemistry
10 Communications in Mathematical Physics
10 Integral Equations and Operator Theory
10 Computational Mathematics and Mathematical Physics
10 Lobachevskii Journal of Mathematics
10 Communications on Pure and Applied Analysis
9 SIAM Journal on Control and Optimization
9 Theoretical Population Biology
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Mathematical and Computer Modelling
9 International Journal of Computer Mathematics
9 Stochastic Processes and their Applications
9 NoDEA. Nonlinear Differential Equations and Applications
9 Differential Equations and Dynamical Systems
9 Qualitative Theory of Dynamical Systems
9 Multiscale Modeling & Simulation
9 Journal of Statistical Mechanics: Theory and Experiment
9 Computational & Mathematical Methods in Medicine
9 Mathematics
8 Letters in Mathematical Physics
8 Communications in Partial Differential Equations
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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