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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: Indexed cover-to-cover; Published electronic only as of Vol. 11 (2016). Print-ISSN until then: 0973-5348.
Documents Indexed: 901 Publications (since 2006)
References Indexed: 489 Publications with 17,881 References.
all top 5

Authors

38 Volpert, Vitaly A.
14 Ibragimov, Ranis N.
10 Morozov, Andrew Yu.
9 Banerjee, Malay
9 Venturino, Ezio
8 Gorban, Alexander N.
8 Petrovskii, Sergei V.
8 Sequeira, Adélia
7 Kooi, Bob W.
6 Auger, Pierre M.
6 Ducrot, Arnaud
6 Ibragimov, Nail Hairullovich
6 Stéphanou, Angélique
6 Tyukin, Ivan Yu.
6 Zemzemi, Nejib
5 Adimy, Mostafa
5 Apreutesei, Narcisa C.
5 Atangana, Abdon
5 Băleanu, Dumitru I.
5 Bocharov, Gennady A.
5 Chaplain, Mark A. J.
5 Clairambault, Jean
5 Crauste, Fabien
5 Nec, Yana
5 Nepomnyashchy, Alexander A.
5 Ramm, Alexander G.
5 Vougalter, Vitali
5 Webb, Glenn Francis
4 Aboulaich, Rajae
4 Allali, Karam
4 Aniţa, Sebastian
4 Banks, Harvey Thomas
4 Boujena, Soumaya
4 Bravo de la Parra, Rafael
4 Génieys, Stéphane
4 Halanay, Andrei
4 Henry, Jacques
4 Kerbal, Sebti
4 Kumar, Devendra
4 Marvá, Marcos
4 Panteleev, Mikhail A.
4 Perthame, Benoît
4 Preziosi, Luigi
4 Pujo-Menjouet, Laurent
4 Ruzhansky, Michael V.
4 Singh, Jagdev
4 Tosenberger, Alen
4 Volpert, Vladimir A.
4 Wong, Man Wah
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 Chechkin, Aleksei V.
3 Chekroun, Abdennasser
3 Cournède, Paul-Henry
3 Crooke, Philip S. III
3 Davidson, Fordyce A.
3 El Guarmah, El Mahdi
3 El-Khatib, Nader
3 Farkas, József Zoltán
3 Goldobin, Denis S.
3 Gómez-Aguilar, José Francisco
3 Hattaf, Khalid
3 Henry, Bruce I.
3 Jungck, John R.
3 Kafi, Oualid
3 Kagan, L.
3 Kaźmierczak, Bogdan
3 Kelbert, Mark Ya.
3 Kim, Nam-Il
3 Kiss, István Z.
3 Kogan, Yuri
3 Kosztołowicz, Tadeusz
3 Labate, Demetrio
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.
3 Owolabi, Kolade Matthew
3 Pousin, J.
3 Ruan, Shigui
3 Sakhnovich, Alexander L.
3 Scianna, Marco
3 Sivashinsky, Gregory I.
3 Stepanyants, Yury A.
...and 1,564 more Authors
all top 5

Fields

498 Biology and other natural sciences (92-XX)
352 Partial differential equations (35-XX)
176 Ordinary differential equations (34-XX)
133 Fluid mechanics (76-XX)
101 Numerical analysis (65-XX)
91 Dynamical systems and ergodic theory (37-XX)
66 Probability theory and stochastic processes (60-XX)
64 Systems theory; control (93-XX)
53 Operator theory (47-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
43 Statistical mechanics, structure of matter (82-XX)
41 Mechanics of deformable solids (74-XX)
41 Classical thermodynamics, heat transfer (80-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Real functions (26-XX)
21 Statistics (62-XX)
17 Computer science (68-XX)
16 General and overarching topics; collections (00-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Integral equations (45-XX)
14 Quantum theory (81-XX)
13 Combinatorics (05-XX)
13 Mechanics of particles and systems (70-XX)
13 Geophysics (86-XX)
13 Mathematics education (97-XX)
11 Special functions (33-XX)
11 Optics, electromagnetic theory (78-XX)
10 Difference and functional equations (39-XX)
9 Operations research, mathematical programming (90-XX)
6 Integral transforms, operational calculus (44-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Potential theory (31-XX)
5 Functional analysis (46-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
3 History and biography (01-XX)
3 Functions of a complex variable (30-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-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

583 Publications have been cited 3,566 times in 2,982 Documents Cited by Year
Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Zbl 1201.92055
Genieys, S.; Volpert, V.; Auger, P.
87
2006
On nonlinear dynamics of predator-prey models with discrete delay. Zbl 1172.34046
Ruan, S.
70
2009
Inverse stable subordinators. Zbl 1274.60153
Meerschaert, M. M.; Straka, P.
66
2013
Unbounded Laplacians on graphs: basic spectral properties and the heat equation. Zbl 1207.47032
Keller, M.; Lenz, D.
64
2010
New numerical approach for fractional differential equations. Zbl 1406.65045
Atangana, Abdon; Owolabi, Kolade M.
55
2018
Regularity and blow up for active scalars. Zbl 1194.35490
Kiselev, A.
44
2010
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
40
2011
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
37
2019
Epidemiological models and Lyapunov functions. Zbl 1337.92206
Fall, A.; Iggidr, A.; Sallet, G.; Tewa, J. J.
34
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.
34
2011
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
34
2017
The construction of smooth Parseval frames of shearlets. Zbl 1266.42076
Guo, K.; Labate, D.
31
2013
Dynamics of biomembranes: effect of the bulk fluid. Zbl 1231.92014
Bonito, A.; Nochetto, R. H.; Pauletti, M. S.
29
2011
Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077
Perthame, Benoît; Génieys, Stephane
29
2007
Mathematical modeling of leukemogenesis and cancer stem cell dynamics. Zbl 1241.92045
Stiehl, T.; Marciniak-Czochra, A.
27
2012
Facilitating the adoption of unstructured high-order methods amongst a wider community of fluid dynamicists. Zbl 1387.76002
Vincent, P. E.; Jameson, A.
27
2011
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
26
2013
A different approach to the European option pricing model with new fractional operator. Zbl 1405.91658
Yavuz, M.; Özdemir, N.
24
2018
Characterizations of two different fractional operators without singular kernel. Zbl 1423.26015
Yavuz, Mehmet
24
2019
Selection theorem for systems with inheritance. Zbl 1337.92150
Gorban, A. N.
23
2007
A survey of methods for deciding whether a reaction network is multistationary. Zbl 1371.92148
Joshi, B.; Shiu, A.
23
2015
Fractional order model of immune cells influenced by cancer cells. Zbl 1418.34033
Ucar, Esmehan; Özdemir, Necati; Altun, Eren
23
2019
Global bifurcation for the Whitham equation. Zbl 1283.35108
Ehrnström, M.; Kalisch, H.
22
2013
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.
22
2009
Ecoepidemiology: a more comprehensive view of population interactions. Zbl 1384.92060
Venturino, Ezio
22
2016
Nonharmonic analysis of boundary value problems without WZ condition. Zbl 1385.58013
Ruzhansky, M.; Tokmagambetov, N.
22
2017
Epidemic spread in networks: existing methods and current challenges. Zbl 1322.92076
Miller, J. C.; Kiss, I. Z.
21
2014
Spatiotemporal dynamics in a spatial plankton system. Zbl 1197.92049
Upadhyay, R. K.; Wang, W.; Thakur, N. K.
21
2010
Multiphase and multiscale trends in cancer modelling. Zbl 1166.92030
Preziosi, L.; Tosin, A.
21
2009
Continuous time random walks with reactions forcing and trapping. Zbl 1320.60135
Angstmann, C. N.; Donnelly, I. C.; Henry, B. I.
20
2013
Atherosclerosis initiation modeled as an inflammatory process. Zbl 1337.92108
El Khatib, N.; Génieys, S.; Volpert, V.
20
2007
Analysis of a population model structured by the cells molecular content. Zbl 1337.92174
Doumic, M.
20
2007
Competition of species with intra-specific competition. Zbl 1337.35068
Apreutesei, N.; Ducrot, A.; Volpert, V.
20
2008
On spectral stability of solitary waves of nonlinear Dirac equation in 1D. Zbl 1247.35117
Berkolaiko, G.; Comech, A.
20
2012
Volume filling effect in modelling chemotaxis. Zbl 1184.35166
Wrzosek, D.
20
2010
Homogenization of a periodic parabolic Cauchy problem in the Sobolev space. Zbl 1203.35026
Suslina, T.
20
2010
Inside dynamics of delayed traveling waves. Zbl 1278.35044
Bonnefon, O.; Garnier, J.; Hamel, F.; Roques, L.
19
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.
19
2015
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
18
2019
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.
17
2018
Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense. Zbl 1410.65323
Owolabi, Kolade M.
17
2018
Bifurcation thresholds in an SIR model with information-dependent vaccination. Zbl 1337.92223
d’Onofrio, A.; Manfredi, P.; Salinelli, E.
17
2007
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
17
2008
Mathematics of Darwin’s diagram. Zbl 1321.92060
Bessonov, N.; Reinberg, N.; Volpert, V.
17
2014
Properties of discrete framelet transforms. Zbl 1268.42073
Han, Bin
17
2013
Approximating the stability region for a differential equation with a distributed delay. Zbl 1187.34097
Campbell, S. A.; Jessop, R.
17
2009
Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency. Zbl 1170.34056
Li, Jing; Zou, X.
17
2009
Dynamical behavior of a stochastic SIRS epidemic model. Zbl 1337.34046
Hieu, N. T.; Du, N. H.; Auger, P.; Dang, N. H.
17
2015
Global asymptotic stability of equilibria in models for virus dynamics. Zbl 1337.92216
Prüss, J.; Zacher, R.; Schnaubelt, R.
16
2008
On the use of the Hill functions in mathematical models of gene regulatory networks. Zbl 1337.92082
Santillán, M.
16
2008
Patterns of zooplankton functional response in communities with vertical heterogeneity: a model study. Zbl 1337.92189
Morozov, A.; Arashkevich, E.
16
2008
A hybrid analytical algorithm for nonlinear fractional wave-like equations. Zbl 1423.65001
Kumar, Devendra; Singh, Jagdev; Purohit, Sunil Dutt; Swroop, Ram
16
2019
Response functions in linear viscoelastic constitutive equations and related fractional operators. Zbl 1462.35294
Hristov, Jordan
16
2019
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
15
2013
Examples of Lorenz-like attractors in Hénon-like maps. Zbl 1331.37040
Gonchenko, S. V.; Gonchenko, A. S.; Ovsyannikov, I. I.; Turaev, D. V.
15
2013
Methods of blood flow modelling. Zbl 1384.92024
Bessonov, N.; Sequeira, A.; Simakov, S.; Vassilevskii, Yu.; Volpert, V.
15
2016
On the half-plane Dirichlet problem for differential-difference elliptic equations with several nonlocal terms. Zbl 1390.35391
Muravnik, A.
15
2017
Enrichment paradox induced by spatial heterogeneity in a phytoplankton - zooplankton system. Zbl 1337.92192
Poggiale, J.-C.; Gauduchon, M.; Auger, P.
14
2008
On chemotaxis models with cell population interactions. Zbl 1197.35140
Wang, Z. A.
14
2010
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.
14
2017
Asymptotic behavior of solutions to diffusion problems with Robin and free boundary conditions. Zbl 1282.35071
Liu, Xiaowei; Lou, Bendong
13
2013
Quasichemical models of multicomponent nonlinear diffusion. Zbl 1234.35131
Gorban, A. N.; Sargsyan, H. P.; Wahab, H. A.
13
2011
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
Optimal control in coupled within-host and between-host models. Zbl 1294.49013
Numfor, E.; Bhattacharya, S.; Lenhart, S.; Martcheva, M.
13
2014
Semigroup analysis of structured parasite populations. Zbl 1187.92079
Farkas, J. Z.; Green, D. M.; Hinow, P.
13
2010
Blood cell dynamics: half of a century of modelling. Zbl 1384.92027
Pujo-Menjouet, L.
13
2016
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
13
2016
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.
12
2013
Optimal proliferation rate in a cell division model. Zbl 1337.92048
Michel, P.
12
2006
Patterns and transitions to instability in an intraspecific competition model with nonlocal diffusion and interaction. Zbl 1336.92065
Aydogmus, O.
12
2015
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.
12
2009
Free boundary problems associated with multiscale tumor models. Zbl 1172.35080
Friedman, A.
12
2009
On threshold eigenvalues and resonances for the linearized NLS equation. Zbl 1193.35212
Vougalter, V.
12
2010
Modeling and analysis of fractional neutral disturbance waves in arterial vessels. Zbl 1447.35336
Song, Feixue; Yu, Zheyuan; Yang, Hongwei
12
2019
A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. Zbl 1393.35280
Luchko, Yu.
12
2016
Operational methods and new identities for Hermite polynomials. Zbl 1384.42017
Cesarano, C.
12
2017
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.
11
2012
Schrödinger operators on a half-line with inverse square potentials. Zbl 1320.47047
Kovařík, H.; Truc, F.
11
2014
On the form of smooth-front travelling waves in a reaction-diffusion equation with degenerate nonlinear diffusion. Zbl 1202.35050
Sherratt, J. A.
11
2010
A new mathematical model of syphilis. Zbl 1204.92046
Milner, F. A.; Zhao, R.
11
2010
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.
11
2006
The basic reproduction number of an infectious disease in a stable population: the impact of population growth rate on the eradication threshold. Zbl 1337.92208
Inaba, H.; Nishiura, H.
11
2008
Dynamics of tuberculosis: the effect of direct observation therapy strategy (DOTS) in Nigeria. Zbl 1337.92212
Okuonghae, D.; Korobeinikov, A.
11
2007
Patterns for competing populations with species specific nonlocal coupling. Zbl 1338.35237
Bayliss, A.; Volpert, V. A.
11
2015
A measure-theoretic model for collective cell migration and aggregation. Zbl 1314.35194
Colombi, A.; Scianna, M.; Preziosi, L.
11
2015
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.
11
2013
Necessary optimality conditions for a Lotka-Volterra three species system. Zbl 1201.92058
Apreutesei, N. C.
11
2006
The projection method for multidimensional framelet and wavelet analysis. Zbl 1303.42018
Han, B.
10
2014
Existence of waves for a nonlocal reaction-diffusion equation. Zbl 1232.35181
Demin, I.; Volpert, V.
10
2010
Reaction-difusion model of early carcinogenesis: the effects of influx of mutated cells. Zbl 1337.92047
Marciniak-Czochra, Anna; Kimmel, Marek
10
2008
ATP production and necrosis formation in a tumour spheroid model. Zbl 1337.92099
Bertuzzi, A.; Fasano, A.; Gandolfi, A.; Sinisgalli, C.
10
2007
A minimal model of pursuit-evasion in a predator-prey system. Zbl 1337.92201
Tyutyunov, Y.; Titova, L.; Arditi, R.
10
2007
Usefulness of biocontrol of pests in tea: a mathematical model. Zbl 1337.92184
Maiti, A.; Pal, A. K.; Samanta, G. P.
10
2008
Numerical modelling of cell distribution in blood flow. Zbl 1333.92021
Bessonov, N.; Babushkina, E.; Golovashchenko, S. F.; Tosenberger, A.; Ataullakhanov, F.; Panteleev, M.; Tokarev, A.; Volpert, V.
10
2014
Human immunodeficiency virus infection: from biological observations to mechanistic mathematical modelling. Zbl 1261.92033
Bocharov, G.; Chereshnev, V.; Gainova, I.; Bazhan, S.; Bachmetyev, B.; Argilaguet, J.; Martinez, J.; Meyerhans, A.
10
2012
Solvability conditions for a linearized Cahn-Hilliard equation of sixth order. Zbl 1242.47054
Vougalter, V.; Volpert, V.
10
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.
10
2012
Phytoplankton dynamics: from the behaviour of cells to a transport equation. Zbl 1201.92062
Rudnicki, Ryszard; Wieczorek, Radosław
10
2006
Delay model of hematopoietic stem cell dynamics: Asymptotic stability and stability switch. Zbl 1186.34117
Crauste, F.
10
2009
Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models. Zbl 1177.35052
Clairambault, J.; Gaubert, S.; Lepoutre, Th.
10
2009
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
3
2021
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
3
2021
New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2
2021
Bifurcation control of a minimal model of marine plankton interaction with multiple delays. Zbl 1469.92138
Jiang, Zhichao; Jie, Maoyan
1
2021
Owner-intruder contests with information asymmetry. Zbl 1468.91017
Bisen, Jay; Farooq, Faheem; Hasan, Manaeil; Patel, Akhil; Rychtář, Jan; Taylor, Dewey
1
2021
Parallel time-stepping for fluid-structure interactions. Zbl 1469.76075
Margenberg, Nils; Richter, Thomas
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
A new approach to the dynamic modeling of an infectious disease. Zbl 1469.92124
Shayak, B.; Sharma, Mohit M.
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
Contact rate epidemic control of COVID-19: an equilibrium view. Zbl 1467.92193
Elie, Romuald; Hubert, Emma; Turinici, Gabriel
10
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
6
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
4
2020
Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping. Zbl 1467.92161
Souna, Fethi; Djilali, Salih; Charif, Fayssal
3
2020
Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model. Zbl 1467.92191
Dolbeault, Jean; Turinici, Gabriel
3
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
3
2020
On mathematical modelling of temporal spatial spread of epidemics. Zbl 1467.92207
Khachatryan, Kh. A.; Narimanyan, A. Zh.; Khachatryan, A. Kh.
2
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.
2
2020
Efficiency of hysteretic damper in oscillating systems. Zbl 07372573
Semenov, M. E.; Solovyov, Andrey M.; Meleshenko, Peter A.; Reshetova, Olga O.
2
2020
Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176
Bonnans, J. Frédéric; Gianatti, Justina
2
2020
Growth in the Muskat problem. Zbl 1473.35442
Granero-Belinchón, Rafael; Lazar, Omar
1
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
1
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.
1
2020
Efficiency of cancer treatments: in silico experiments. Zbl 1467.92097
Piretto, Elena; Delitala, Marcello; Ferraro, Mario
1
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
1
2020
Dynamics of COVID-19 pandemic at constant and time-dependent contact rates. Zbl 1467.92210
Kochańczyk, Marek; Grabowski, Frederic; Lipniacki, Tomasz
1
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
1
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
1
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
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
Large deflections of inextensible cantilevers: modeling, theory, and simulation. Zbl 1468.74031
Deliyianni, Maria; Gudibanda, Varun; Howell, Jason; Webster, Justin T.
1
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
1
2020
A class of discrete predator-prey interaction with bifurcation analysis and chaos control. Zbl 1470.37111
Din, Qamar; Saleem, Nafeesa; Shabbir, Muhammad Sajjad
1
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.
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
37
2019
Characterizations of two different fractional operators without singular kernel. Zbl 1423.26015
Yavuz, Mehmet
24
2019
Fractional order model of immune cells influenced by cancer cells. Zbl 1418.34033
Ucar, Esmehan; Özdemir, Necati; Altun, Eren
23
2019
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
18
2019
A hybrid analytical algorithm for nonlinear fractional wave-like equations. Zbl 1423.65001
Kumar, Devendra; Singh, Jagdev; Purohit, Sunil Dutt; Swroop, Ram
16
2019
Response functions in linear viscoelastic constitutive equations and related fractional operators. Zbl 1462.35294
Hristov, Jordan
16
2019
Modeling and analysis of fractional neutral disturbance waves in arterial vessels. Zbl 1447.35336
Song, Feixue; Yu, Zheyuan; Yang, Hongwei
12
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
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
The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection. Zbl 1447.35030
Nefedov, Nikolay
5
2019
Geographic environmental Kuznets curves: the optimal growth linear-quadratic case. Zbl 1421.49029
Boucekkine, Raouf; Fabbri, Giorgio; Federico, Salvatore; Gozzi, Fausto
4
2019
Canards existence in the Hindmarsh-Rose model. Zbl 1423.34074
Ginoux, Jean-Marc; Llibre, Jaume; Tchizawa, Kiyoyuki
4
2019
Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling. Zbl 1437.35244
Muravnik, Andrey B.
4
2019
The optimal population size under pollution and migration externalities: a spatial control approach. Zbl 1457.91300
La Torre, Davide; Liuzzi, Danilo; Marsiglio, Simone
3
2019
Initial-boundary value problems for a time-fractional differential equation with involution perturbation. Zbl 1419.35235
Al-Salti, Nasser; Kerbal, Sebti; Kirane, Mokhtar
3
2019
Distributed optimal control models in environmental economics: a review. Zbl 1457.91282
Augeraud-Véron, Emmanuelle; Boucekkine, Raouf; Veliov, Vladimir M.
2
2019
Stabilization of a viscoelastic Timoshenko beam fixed into a moving base. Zbl 1447.35215
Berkani, Amirouche; Tatar, Nasser-Eddine
2
2019
Mathematical modelling of atherosclerosis. Zbl 1431.92031
El Khatib, N.; Kafi, O.; Sequeira, A.; Simakov, S.; Vassilevski, Yu.; Volpert, V.
2
2019
A Nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology. Zbl 1421.35077
Chamekh, Rabeb; Kallel, Moez; Zemzemi, Nejib
1
2019
Fractional advection-diffusion equation with memory and Robin-type boundary condition. Zbl 1421.35286
Mirza, Itrat Abbas; Vieru, Dumitru; Ahmed, Najma
1
2019
Local generalization of transversality conditions for optimal control problem. Zbl 1470.49041
Eroglu, Beyza Billur İskender; Yapişkan, Dilara
1
2019
Multiscale dynamics of an adaptive catalytic network. Zbl 1418.37086
Kuehn, Christian
1
2019
Fisher-KPP dynamics in diffusive Rosenzweig-MacArthur and Holling-Tanner models. Zbl 1420.92090
Cai, Hong; Ghazarynan, Anna; Manukian, Vahagn
1
2019
Black swans and canards in two predator-one prey model. Zbl 1470.92262
Shchepakina, Elena
1
2019
Coupled lattice Boltzmann simulation method for bidomain type models in cardiac electrophysiology with multiple time-delays. Zbl 1433.35418
Corre, S.; Belmiloudi, A.
1
2019
An infection age-space-structured SIR epidemic model with Dirichlet boundary condition. Zbl 1429.35111
Chekroun, Abdennasser; Kuniya, Toshikazu
1
2019
Well-posedness of a nonlocal boundary value difference elliptic problem. Zbl 1447.65015
Ashyralyev, Allaberen; Hamad, Ayman
1
2019
New numerical approach for fractional differential equations. Zbl 1406.65045
Atangana, Abdon; Owolabi, Kolade M.
55
2018
A different approach to the European option pricing model with new fractional operator. Zbl 1405.91658
Yavuz, M.; Özdemir, N.
24
2018
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.
17
2018
Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense. Zbl 1410.65323
Owolabi, Kolade M.
17
2018
Exact solutions for the blood flow through a circular tube under the influence of a magnetic field using fractional Caputo-Fabrizio derivatives. Zbl 1408.37147
Riaz, M. B.; Zafar, A. A.
9
2018
Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model. Zbl 1405.26006
Hristov, Jordan
6
2018
Uniform asymptotic stability of a fractional tuberculosis model. Zbl 1407.92133
Wojtak, Weronika; Silva, Cristiana J.; Torres, Delfim F. M.
6
2018
Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel. Zbl 1462.34022
Yépez-Martínez, H.; Gómez-Aguilar, J. F.
6
2018
Fractional compound Poisson processes with multiple internal states. Zbl 1405.35189
Xu, Pengbo; Deng, Weihua
5
2018
First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463
Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon
5
2018
Existence and regularity of mild solutions to fractional stochastic evolution equations. Zbl 1405.60102
Zou, G. A.; Wang, B.
5
2018
Adaptive fitness landscape for replicator systems: to maximize or not to maximize. Zbl 1405.92161
Bratus, Alexander S.; Semenov, Yuri S.; Novozhilov, Artem S.
4
2018
Applications of fractional derivatives to nanofluids: exact and numerical solutions. Zbl 1405.76062
Aman, Sidra; Khan, Ilyas; Ismail, Zulkhibri; Salleh, Mohd Zuki
3
2018
A reliable mixed method for singular integro-differential equations of non-integer order. Zbl 1451.65232
Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram
3
2018
Steady state analysis of a syntrophic model: the effect of a new input substrate concentration. Zbl 1407.34063
Daoud, Y.; Abdellatif, N.; Sari, T.; Harmand, J.
3
2018
Well-posedness of the time-space fractional stochastic Navier-Stokes equations driven by fractional Brownian motion. Zbl 1408.37136
Xu, Pengfei; Zeng, Caibin; Huang, Jianhua
2
2018
Generalized Riemann waves and their adjoinment through a shock wave. Zbl 1405.35148
Chaiyasena, A.; Worapitpong, W.; Meleshko, S. V.
2
2018
Preface: Modelling in ecology, epidemiology and evolution. Zbl 1405.00025
2
2018
Stabilizing effect of intra-specific competition on prey-predator dynamics with intraguild predation. Zbl 1406.34075
Namba, Toshiyuki; Takeuchi, Yasuhiro; Banerjee, Malay
2
2018
Net reproduction functions for nonlinear structured population models. Zbl 1457.92135
Farkas, József Z.
2
2018
Mathematical study of a single leukocyte in microchannel flow. Zbl 1405.35222
Boujena, S.; Kafi, O.; Sequeira, A.
2
2018
Catching platelets from the bloodflow: the role of the conformation of von Willebrand factor. Zbl 1405.76071
Belyaev, Aleksey V.
2
2018
Reconstruction of the Robin boundary condition and order of derivative in time fractional heat conduction equation. Zbl 1405.35180
Brociek, Rafał; Słota, Damian
1
2018
Periodic traveling-wave solutions to the Whitham equation. Zbl 1405.35181
Casey, Kendall F.
1
2018
Singular perturbed components of flows – linear precursors of shock waves. Zbl 1405.76037
Chashechkin, Yuli D.
1
2018
Invariant solutions and shock atmospheric waves in a thin circular layer. Zbl 1408.35194
Ibragimov, Nail H.; Ibragimov, Ranis N.; Kovalev, Vladimir F.
1
2018
Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. Zbl 1405.35113
Kuznetsov, Ivan
1
2018
Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF. Zbl 1405.65130
Wang, Yuepeng; Cheng, Yue; Zhang, Zongyuan; Lin, Guang
1
2018
Normal form for transverse instability of the line soliton with a nearly critical speed of propagation. Zbl 1405.35187
Pelinovsky, Dmitry
1
2018
Prey herd behavior modeled by a generic non-differentiable functional response. Zbl 1405.92241
Vilches, Karina; González-Olivares, Eduardo; Rojas-Palma, Alejandro
1
2018
An economic-demographic dynamical system. Zbl 1405.35220
Zincenko, A.; Petrovskii, S.; Volpert, V.
1
2018
Interactions between leaf-cutter ants and fungus garden: effects of division of labor, age polyethism, and egg cannibalism. Zbl 1408.37148
Rodriguez Rodriguez, Marisabel; Smith, Nathan; Phan, Tin; Woodbury, Jonathan; Kang, Yun
1
2018
Characterizations of nuclear pseudo-differential operators on \(\mathbb{Z}\) with some applications. Zbl 07007759
Jamalpourbirgani, Majid
1
2018
Shearlet-based regularized reconstruction in region-of-interest computed tomography. Zbl 1405.44003
Bubba, T. A.; Labate, D.; Zanghirati, G.; Bonettini, S.
1
2018
Soliton spectra of random water waves in shallow basins. Zbl 1405.76005
Giovanangeli, J.-P.; Kharif, C.; Stepanyants, Y. A.
1
2018
Determination of global kinetic parameters by optimization procedure using burning velocity measurements. Zbl 1405.80009
Grenkin, Gleb V.; Chebotarev, Alexander Yu.; Babushok, Valeri I.; Minaev, Sergey S.
1
2018
Mechanisms performance and pressure dependence of hydrogen/air burner-stabilized flames. Zbl 1405.80006
Bykov, V.; Gubernov, V. V.; Maas, U.
1
2018
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
34
2017
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Cited by 4,683 Authors

68 Volpert, Vitaly A.
31 Băleanu, Dumitru I.
27 Venturino, Ezio
22 Banerjee, Malay
20 Morozov, Andrew Yu.
20 Vougalter, Vitali
19 Owolabi, Kolade Matthew
17 Ruzhansky, Michael V.
16 Wang, Zhi Cheng
15 Gómez-Aguilar, José Francisco
14 Abdeljawad, Thabet
14 Chaplain, Mark A. J.
14 Labate, Demetrio
14 Li, Wan-Tong
14 Perthame, Benoît
14 Suslina, Tat’yana Aleksandrovna
14 Tokmagambetov, Niyaz Esenzholovich
14 Trofimchuk, Sergei I.
14 Webb, Glenn Francis
13 Atangana, Abdon
12 Bocharov, Gennady A.
12 Henry, Bruce I.
12 Keller, Matthias
12 Kumar Upadhyay, Ranjit
12 Marciniak-Czochra, Anna K.
12 Ruan, Shigui
11 Angstmann, Christopher N.
11 Bowong, Samuel
11 Khan, Ilyas
11 Lorenzi, Tommaso
11 Preziosi, Luigi
11 Rezapour, Shahram
10 Bao, Xiongxiong
10 Byrne, Helen Mary
10 Ducrot, Arnaud
10 Gonchenko, Sergey V.
10 Guo, Kanghui
10 Leonenko, Nikolai N.
10 Mackey, Michael Charles
10 Samanta, Guru Prasad
10 Scianna, Marco
10 Singh, Jagdev
10 Ward, Michael J.
10 Wu, Shiliang
9 Adimy, Mostafa
9 Aniţa, Sebastian
9 Ascione, Giacomo
9 Deng, Weihua
9 Han, Bin
9 Jarad, Fahd
9 Kalisch, Henrik
9 Kooi, Bob W.
9 Kuniya, Toshikazu
9 Nane, Erkan
9 Petrovskii, Sergei V.
9 Pirozzi, Enrica
9 Sene, Ndolane
9 Torres, Delfim Fernando Marado
9 Wang, Weiming
9 Winkler, Michael
8 Apreutesei, Narcisa C.
8 Chekroun, Abdennasser
8 Farkas, József Zoltán
8 Hammouch, Zakia
8 Han, Bang-Sheng
8 Karev, Georgiĭ Petrovich
8 Khan, Muhammad Altaf
8 Korobeinikov, Andrei
8 Magal, Pierre
8 Muravnik, Andreĭ Borisovich
8 Okuonghae, Daniel
8 Pelinovsky, Dmitry Efimovich
8 Ptashnyk, Mariya
8 Sandev, Trifce
8 Sekerci, Yadigar
8 Sequeira, Adélia
8 Stollenwerk, Nico
8 Surulescu, Christina
8 Thieme, Horst R.
8 Zhuang, Xiaosheng
7 Aguiar, Maíra
7 Bayliss, Alvin
7 Clairambault, Jean
7 Cournède, Paul-Henry
7 Crauste, Fabien
7 Dai, Binxiang
7 Dutta, Hemen
7 Golénia, Sylvain
7 Hattaf, Khalid
7 Henderson, Christopher
7 Jameson, Antony
7 Kashuri, Artion
7 Kiss, István Z.
7 Kühn, Christian
7 Kumar, Devendra
7 Lenz, Daniel H.
7 Mohammadi, Hakimeh
7 Rachinskii, Dmitrii I.
7 Rychtár, Jan
7 Schmidt, Marcel
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Cited in 411 Journals

130 Journal of Theoretical Biology
124 Mathematical Modelling of Natural Phenomena
111 Journal of Mathematical Biology
108 Chaos, Solitons and Fractals
87 Bulletin of Mathematical Biology
70 Journal of Computational Physics
58 Journal of Mathematical Analysis and Applications
57 Mathematical Biosciences
54 Discrete and Continuous Dynamical Systems. Series B
50 Journal of Differential Equations
48 Applied Mathematics and Computation
47 Nonlinear Analysis. Real World Applications
47 Advances in Difference Equations
42 Mathematical Biosciences and Engineering
31 SIAM Journal on Applied Mathematics
30 Journal of Biological Dynamics
30 Discrete and Continuous Dynamical Systems. Series S
28 Communications in Nonlinear Science and Numerical Simulation
27 Journal of Computational and Applied Mathematics
26 Journal of Functional Analysis
26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
25 Computer Methods in Applied Mechanics and Engineering
25 Journal of Scientific Computing
25 Applied Mathematical Modelling
24 Computers and Fluids
24 International Journal of Biomathematics
23 Discrete and Continuous Dynamical Systems
23 Chaos
22 Computers & Mathematics with Applications
22 Physica A
22 Physica D
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Discrete Dynamics in Nature and Society
19 Nonlinearity
19 Advances in Mathematics
19 SIAM Journal on Applied Dynamical Systems
17 Applicable Analysis
17 Journal of Mathematical Physics
17 Mathematical Methods in the Applied Sciences
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Journal of Dynamics and Differential Equations
17 Abstract and Applied Analysis
17 AIMS Mathematics
16 Transactions of the American Mathematical Society
16 Fractional Calculus & Applied Analysis
15 Applied Numerical Mathematics
15 Applied Mathematics Letters
15 Computational and Applied Mathematics
14 Journal of Fluid Mechanics
14 Mathematics and Computers in Simulation
14 SIAM Journal on Mathematical Analysis
14 Fractals
14 Nonlinear Dynamics
14 Journal of Biological Systems
13 Journal of Nonlinear Science
13 Complexity
13 The Journal of Fourier Analysis and Applications
13 Journal of Applied Mathematics and Computing
13 Journal of Mathematics
12 Acta Applicandae Mathematicae
12 International Journal of Applied and Computational Mathematics
11 Applied and Computational Harmonic Analysis
11 St. Petersburg Mathematical Journal
11 Journal of Mathematical Chemistry
11 Annales Henri Poincaré
11 Journal of Pseudo-Differential Operators and Applications
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Automatica
10 Integral Equations and Operator Theory
10 European Journal of Applied Mathematics
10 Russian Journal of Numerical Analysis and Mathematical Modelling
10 Mathematical Problems in Engineering
10 Journal of Function Spaces
9 Mathematical and Computer Modelling
9 International Journal of Computer Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Mathematics
8 Archive for Rational Mechanics and Analysis
8 Journal of Statistical Physics
8 Letters in Mathematical Physics
8 Proceedings of the American Mathematical Society
8 Stochastic Processes and their Applications
8 Lobachevskii Journal of Mathematics
8 Communications on Pure and Applied Analysis
8 Multiscale Modeling & Simulation
8 Computational & Mathematical Methods in Medicine
7 Communications in Mathematical Physics
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Computational Mathematics and Mathematical Physics
7 NoDEA. Nonlinear Differential Equations and Applications
7 Differential Equations and Dynamical Systems
7 Differential Equations
7 Journal of Statistical Mechanics: Theory and Experiment
7 Complex Variables and Elliptic Equations
6 Mathematical Notes
6 Mathematics of Computation
6 Functional Analysis and its Applications
6 Stochastic Analysis and Applications
6 The Journal of Geometric Analysis
6 Communications in Partial Differential Equations
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Cited in 58 Fields

1,515 Biology and other natural sciences (92-XX)
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135 Calculus of variations and optimal control; optimization (49-XX)
110 Systems theory; control (93-XX)
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96 Integral equations (45-XX)
84 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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65 Quantum theory (81-XX)
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