Agent-based diffusion in predation systems with Beddington–DeAngelis response
Tài liệu tham khảo
Andren, 1994, Effects of habitat fragmentation on birds and mammals in landscapes with different proportions of suitable habitat: a review, Oikos, 71, 355, 10.2307/3545823
Aström, 2013, Negative and matrix-dependent effects of dispersal corridors in an experimental metacommunity, Ecology, 94, 1939, 10.1890/11-1795.1
Beddington, 1975, Mutual interference between parasites or predators and its effect on searching efficiency, J. Animal Ecol., 44, 331, 10.2307/3866
Butler, 1986, Uniformly persistent systems, Proc. Amer. Math. Soc., 83, 425, 10.1090/S0002-9939-1986-0822433-4
DeAngelis, 1975, A model for trophic interaction, Ecology, 56, 881, 10.2307/1936298
Dipesh, 2022, Sensitivity and directional analysis of two mutually competing plant population under allelopathy using DDE, 605
Dipesh, 2023, Delay differential equation model of forest biomass and competition between wood-based industries and synthetic-based industries, Math. Methods Sci., 46, 10602, 10.1002/mma.9141
Dipesh, 2023, Investigating the impact of toxicity on plant growth dynamics through the zero of a fifth-degree exponential polynomial: A mathematical model using DDE, Chaos Solitons Fractals, 171, 10.1016/j.chaos.2023.113457
Elbetch, 2023, Nonlinear diffusion in multi-patch logisticmodel, J. Math. Biol., 87, 19, 10.1007/s00285-023-01936-2
Gladson, 2023, An agent-based model of biting midge dynamics to understand bluetongue outbreaks, Bull. Math. Biol., 85, 69, 10.1007/s11538-023-01177-w
Grimm, 2005, Pattern-oriented modeling of agent-based complex systems: lessons from ecology, Science, 310, 987, 10.1126/science.1116681
Hanski, 1999
Hofbauer, 1998
Holt, 1985, Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution, Theor. Popul. Biol., 28, 181, 10.1016/0040-5809(85)90027-9
Huang, 2020, Population abundance in predator–prey systems with predator’s dispersal between two patches, Theor. Popu. Biol., 135, 1, 10.1016/j.tpb.2020.06.002
Hwang, 2003, Global analysis of the predator–prey system with Beddington–DeAngelis functional response, J. Math. Anal. Appl., 281, 395, 10.1016/S0022-247X(02)00395-5
Hwang, 2004, Uniqueness of limit cycles of the predator–prey system with Beddington–DeAngelis functional response, J. Math. Anal. Appl., 290, 113, 10.1016/j.jmaa.2003.09.073
Khasin, 2012, Minimizing the population extinction risk by migration, Phys. Rev. Lett., 109, 10.1103/PhysRevLett.109.138104
Kumar, 2022, Effect of time delay on dynamic of plant competition under allelopathy, Math. Methods Sci., 45, 9308, 10.1002/mma.8307
Kumar, 2022, Effect of time-lag on two mutually competing plant populations under allelochemicals, J. Phys.: Conf. Ser., 2267
Lombardo, 2014, Nonmonotonic effects of migration in subdivided populations, Phys. Rev. Lett., 112, 10.1103/PhysRevLett.112.148101
Pires, 2019, Optimal dispersal in ecological dynamics with Allee effect in metapopulations, PLoS One, 14, 10.1371/journal.pone.0218087
Poggiale, 2005, Global production increased by spatial heterogeneity in a population dynamics model, Acta Biotheor., 53, 359, 10.1007/s10441-005-4890-3
Ruiz-Herrera, 2018, Effects of diffusion on total biomass in simple metacommunities, J. Theoret. Biol., 447, 12, 10.1016/j.jtbi.2018.03.018
Shaw, 2015, Dispersal evolution in the presence of Allee effects can speed up or slow down invasion, Amer. Nat., 185, 631, 10.1086/680511
Song, 2022, On a consumer-resource system with asymmetric diffusion and geographic heterogeneity, Commun. Nonlinear Sci. Numer. Simul., 109, 10.1016/j.cnsns.2022.106362
Wu, 2020, Dispersal asymmetry in a two-patch system with source–sink populations, Theor. Popul. Biol., 131, 54, 10.1016/j.tpb.2019.11.004
Zhang, 2017, Carrying capacity in a heterogeneous environment with habitat connectivity, Ecol. Lett., 20, 1118, 10.1111/ele.12807
Zhang, 2020, Effect of stressors on the carrying capacity of spatially-distributed metapopulations, Amer. Nat., 196, 46, 10.1086/709293