Matvey Kulakov, Efim Ya. Frisman
Modeling the Spatio-Temporal Dynamics of a Population with Age Structure and Long-Range Interactions: Synchronization and Clustering
Mathematical Biology & Bioinformatics. 2019;14(1):1-18.
doi: 10.17537/2019.14.1.
References
- Udwadia F.E., Raju N. Dynamics of Coupled Nonlinear Maps and Its Application to Ecological Modeling. Applied Mathematics and Computation. 1997;82:137-179. doi: 10.1016/S0096-3003(96)00027-6
- Wysham D.B., Hastings A. Sudden Shift Ecological Systems: Intermittency and Transients in the Coupled Riker Population Model. Bulletin of Mathematical Biology. 2008;70:1013-1031. doi: 10.1007/s11538-007-9288-8
- Manica V., Silva J.A.L. The Influence of Temporal Migration in the Synchronization of Populations. Trends in Applied and Computational Mathematics. 2015;16(1):31-40.
- Franco D., Ruiz-Herrera A. To connect or not to connect isolated patches. Journal of Theoretical Biology. 2015;7:72-80. doi: 10.1016/j.jtbi.2015.01.029
- Castro M.L., Silva J.A.L, Justo D.A.R. Stability in an age-structured metapopulation model. J. Math. Biol. 2006;52:183-208. doi: 10.1007/s00285-005-0352-4
- Goldwyn E.E., Hastings A. The roles of the Moran effect and dispersal in synchronizing oscillating populations. Journal of Theoretical Biology. 2011;289(21):237-246. doi: 10.1016/j.jtbi.2011.08.033
- Comins H.N., Hassell M.P., May R.M. The spatial dynamics of host-parasitoid systems. J. Animal Ecology. 1992;61:735-748. doi: 10.2307/5627
- Huang T., Zhang H. Bifurcation, chaos and pattern formation in a space-and time-discrete predator-prey system. Chaos, Solitons & Fractals. 2016;91:92-107. doi: 10.1016/j.chaos.2016.05.009
- Kuznetsov S.P. Universality and scaling in the behavior of coupled Feigenbaum systems. Radiophysics and Quantum Electronics. 1985;28(8):681-695. doi: 10.1007/BF01035195
- Kuznetsov A.P., Kuznetsov S.P. Critical dynamics of coupled map lattices at the onset of chaos. Radiophysics and Quantum Electronics. 1991;34(10-12):845-868. doi: 10.1007/BF01083617
- Kulakov M.P., Axenovich T.I., Frisman E.Ya. Approaches to the description of spatial dynamics of migration-related populations. Regionalnye Problemy (Regional Problems). 2013;16(1):5-15 (in Russ.).
- Silva J.A.L., Barrionuevo J.A., Giordani F.T. Synchronism in population networks with non linear coupling. Nonlinear Analysis: Real World Applications. 2009;11(2):1005-1016. doi: 10.1016/j.nonrwa.2009.01.036
- Vasconcelos D.B., Viana R.L., Lopes S.R., Batista A.M., Pinto S.E. de S. Spatial correlations and synchronization in coupled map lattices with long-range interactions. Physica A. 2004;343:201-218. doi: 10.1016/j.physa.2004.06.063
- Viana R.L., Batista A.M., Batista Ρ.A.S., Iarosz K.Ρ. Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance. Nonlinear Dynamics. 2017;87(3):1589-1601. doi: 10.1007/s11071-016-3135-0
- Frisman E.Y., Neverova G.P., Revutskaya O.L. Complex dynamics of the population with a simple age structure. Ecological Modelling. 2011;222(12):1943-1950. doi: 10.1016/j.ecolmodel.2011.03.043
- Kulakov M.P., Neverova G.P., Frisman E.Ya. Multistability in dynamic models of migration coupled populations with an age structure. Nelin. Dinam. 2014;10(4):407-425 (in Russ.). doi: 10.20537/nd1404002
- Shepelev I.A., Vadivasova T.E., Bukh A.V., Strelkova G.I., Anishchenko V.S. New type of chimera structures in a ring of bistable FitzHugh-Nagumo oscillators with nonlocal interaction. Physics Letters A. 2017;381(16):1398-1404. doi: 10.1016/j.physleta.2017.02.034
- Shepelev I.A., Bukh A.V., Vadivasova T.E., Anishchenko V.S., Zakharova A. Double-well chimeras in 2D lattice of chaotic bistable elements. Commun. Nonlinear Sci. Numer. Simulat. 2018;54:50-61. doi: 10.1016/j.cnsns.2017.05.017
- Shepelev I.A., Vadivasova T.E. Solitary states in a 2D lattice of bistable elements with global and close to global interaction. Nelin. Dinam. 2017;13(3):317-329 (in Russ.). doi: 10.20537/nd1703002
- Kulakov M.P., Frisman E.Ya. Clustering and chimeras in the model of the spatial-temporal dynamics of agestructured populations. Nelin. Dinam. 2018;14(1):13-31 (in Russ.). doi: 10.20537/nd1801002
- Crutchfield J.P., Kaneko K. Phenomenology of Spatio-Terriporal Chaos. In: Directions in Chaos - Volume 1. Ed. Hao B-L. 1987. P. 272-353. doi: 10.1142/9789814415712_0008
- Kaneko K. Clustering, coding, switching, hierarchical, ordering, and control in network of chaotic elements. Physica D. 1990;41:137-172. doi: 10.1016/0167-2789(90)90119-A
- Tuzinkevich A.V., Frisman E.Ya. Dissipative structures and patchiness in spatial distribution of plants. Ecol. Modelling. 1990;52:207-223. doi: 10.1016/0304-3800(90)90016-A
- Kulakov M.P. On a model of migration-related populations with long-range interactions. Regionalnye Problemy (Regional Problems). 2018;21(2):52-60 (in Russ.). doi: 10.31433/1605-220X-2018-21-2-52-60
- Jaros P., Brezetsky S., Levchenko R., Dudkowski D., Kapitaniak T., Maistrenko Y. Solitary states for coupled oscillators with inertia. Chaos. 2018;28. Article No. 011103. doi: 10.1063/1.5019792
|
|
|