[1] |
Yang, Y.; Ma, C.; Zu, J., Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality, J. Math. Biol., 85, 15 (2022) · Zbl 1497.92183 · doi:10.1007/s00285-022-01782-8 |
[2] |
Lewis, M. A.; Kareiva, P., Allee dynamics and the spread of invading organisms, Theor. Popul. Biol., 43, 141-158 (1993) · Zbl 0769.92025 · doi:10.1006/tpbi.1993.1007 |
[3] |
Dennis, B., Allee effects: Population growth, critical density, and the chance of extinction, Nat. Resour. Model., 3, 481-538 (1989) · Zbl 0850.92062 · doi:10.1111/j.1939-7445.1989.tb00119.x |
[4] |
Stephens, P. A.; Sutherland, W. J., Consequences of the Allee effect for behaviour, ecology and conservation, Trends Ecol. Evol., 14, 401-405 (1999) · doi:10.1016/S0169-5347(99)01684-5 |
[5] |
Aguirre, P.; Gonzalez-Olivares, E.; Sáez, E., Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect, Nonlinear Anal.: Real World Appl., 10, 1401-1416 (2009) · Zbl 1160.92038 · doi:10.1016/j.nonrwa.2008.01.022 |
[6] |
Wang, J.; Shi, J.; Wei, J., Predator-prey system with strong Allee effect in prey, J. Math. Biol., 62, 291-331 (2011) · Zbl 1232.92076 · doi:10.1007/s00285-010-0332-1 |
[7] |
Sen, M.; Banerjee, M.; Morozov, A., Bifurcation analysis of a ratio-dependent prey-predator model with the Allee effect, Ecol. Complex., 11, 12-27 (2012) · doi:10.1016/j.ecocom.2012.01.002 |
[8] |
Mandal, S.; Al Basir, F.; Ray, S., Additive Allee effect of top predator in a mathematical model of three species food chain, Energy, Ecol. Environ., 6, 451-461 (2021) · doi:10.1007/s40974-020-00200-3 |
[9] |
Zhou, S.-R.; Liu, Y.-F.; Wang, G., The stability of predator-prey systems subject to the Allee effects, Theor. Popul. Biol., 67, 23-31 (2005) · Zbl 1072.92060 · doi:10.1016/j.tpb.2004.06.007 |
[10] |
Courchamp, F.; Berec, L.; Gascoigne, J., Allee Effects in Ecology and Conservation (2008), OUP Oxford |
[11] |
Gascoigne, J.; Berec, L.; Gregory, S.; Courchamp, F., Dangerously few liaisons: A review of mate-finding Allee effects, Popul. Ecol., 51, 355-372 (2009) · doi:10.1007/s10144-009-0146-4 |
[12] |
Cortez, M. H.; Ellner, S. P., Understanding rapid evolution in predator-prey interactions using the theory of fast-slow dynamical systems, Am. Nat., 176, E109-E127 (2010) · doi:10.1086/656485 |
[13] |
Nag Chowdhury, S.; Kundu, S.; Banerjee, J.; Perc, M.; Ghosh, D., Eco-evolutionary dynamics of cooperation in the presence of policing, J. Theor. Biol., 518, 110606 (2021) · Zbl 1460.92235 · doi:10.1016/j.jtbi.2021.110606 |
[14] |
Roy, S.; Nag Chowdhury, S.; Mali, P. C.; Perc, M.; Ghosh, D., Eco-evolutionary dynamics of multigames with mutations, PLoS One, 17, e0272719 (2022) · doi:10.1371/journal.pone.0272719 |
[15] |
Maynard Smith, J., On Evolution (1972), Edinburgh University Press |
[16] |
Hamilton, W. D., Extraordinary sex ratios: A sex-ratio theory for sex linkage and inbreeding has new implications in cytogenetics and entomology, Science, 156, 477-488 (1967) · doi:10.1126/science.156.3774.477 |
[17] |
Lawlor, L. R.; Smith, J. M., The coevolution and stability of competing species, Am. Nat., 110, 79-99 (1976) · doi:10.1086/283049 |
[18] |
Mandal, A.; Tiwari, P. K.; Samanta, S.; Venturino, E.; Pal, S., A nonautonomous model for the effect of environmental toxins on plankton dynamics, Nonlinear Dyn., 99, 3373-3405 (2020) · Zbl 1434.37051 · doi:10.1007/s11071-020-05480-2 |
[19] |
Mandal, A.; Tiwari, P. K.; Pal, S., A nonautonomous model for the effects of refuge and additional food on the dynamics of phytoplankton-zooplankton system, Ecol. Complex., 46, 100927 (2021) · doi:10.1016/j.ecocom.2021.100927 |
[20] |
Biswas, S.; Tiwari, P. K.; Bona, F.; Pal, S.; Venturino, E., Modeling the avoidance behavior of zooplankton on phytoplankton infected by free viruses, J. Biol. Phys., 46, 1-31 (2020) · doi:10.1007/s10867-020-09538-5 |
[21] |
Biswas, S.; Tiwari, P. K.; Pal, S., Delay-induced chaos and its possible control in a seasonally forced eco-epidemiological model with fear effect and predator switching, Nonlinear Dyn., 104, 2901-2930 (2021) · doi:10.1007/s11071-021-06396-1 |
[22] |
Mandal, A.; Biswas, S.; Pal, S., Toxicity-mediated regime shifts in a contaminated nutrient-plankton system, Chaos, 33, 2, 023106 (2023) · Zbl 07881233 · doi:10.1063/5.0122206 |
[23] |
Biswas, S.; Mandal, A., Cooperation-mediated regime shifts in a disease-dominated prey-predator system, Chaos, Solitons Fractals, 170, 113352 (2023) · doi:10.1016/j.chaos.2023.113352 |
[24] |
Franović, I.; Omel’chenko, O. E.; Wolfrum, M., Phase-sensitive excitability of a limit cycle, Chaos, 28, 071105 (2018) · Zbl 1396.34028 · doi:10.1063/1.5045179 |
[25] |
Bačić, I.; Klinshov, V.; Nekorkin, V.; Perc, M.; Franović, I., Inverse stochastic resonance in a system of excitable active rotators with adaptive coupling, Europhys. Lett., 124, 40004 (2018) · doi:10.1209/0295-5075/124/40004 |
[26] |
Zhou, S.; Ji, P.; Zhou, Q.; Feng, J.; Kurths, J.; Lin, W., Adaptive elimination of synchronization in coupled oscillator, New J. Phys., 19, 083004 (2017) · Zbl 1516.34094 · doi:10.1088/1367-2630/aa7bde |
[27] |
Ghosh, S.; Mondal, A.; Ji, P.; Mishra, A.; Dana, S. K.; Antonopoulos, C. G.; Hens, C., Emergence of mixed mode oscillations in random networks of diverse excitable neurons: The role of neighbors and electrical coupling, Front. Comput. Neurosci., 14, 49 (2020) · doi:10.3389/fncom.2020.00049 |
[28] |
Uzuntarla, M.; Barreto, E.; Torres, J. J., Inverse stochastic resonance in networks of spiking neurons, PLoS Comput. Biol., 13, e1005646 (2017) · doi:10.1371/journal.pcbi.1005646 |
[29] |
Palabas, T.; Longtin, A.; Ghosh, D.; Uzuntarla, M., Controlling the spontaneous firing behavior of a neuron with astrocyte, Chaos, 32, 051101 (2022) · doi:10.1063/5.0093234 |
[30] |
Abrams, P. A.; Matsuda, H.; Harada, Y., Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits, Evol. Ecol., 7, 465-487 (1993) · doi:10.1007/BF01237642 |
[31] |
Marrow, P.; Dieckmann, U.; Law, R., Evolutionary dynamics of predator-prey systems: An ecological perspective, J. Math. Biol., 34, 556-578 (1996) · Zbl 0845.92018 · doi:10.1007/BF02409750 |
[32] |
Kot, M., Elements of Mathematical Ecology (2001), Cambridge University Press |
[33] |
Wang, X.; Zanette, L.; Zou, X., Modelling the fear effect in predator-prey interactions, J. Math. Biol., 73, 1179-1204 (2016) · Zbl 1358.34058 · doi:10.1007/s00285-016-0989-1 |
[34] |
Zu, J.; Mimura, M., The impact of Allee effect on a predator-prey system with Holling type II functional response, Appl. Math. Comput., 217, 3542-3556 (2010) · Zbl 1202.92088 · doi:10.1016/j.amc.2010.09.029 |
[35] |
Reed, J.; Stenseth, N. C., On evolutionarily stable strategies, J. Theor. Biol., 108, 491-508 (1984) · doi:10.1016/S0022-5193(84)80075-2 |
[36] |
Mitra, C.; Choudhary, A.; Sinha, S.; Kurths, J.; Donner, R. V., Multiple-node basin stability in complex dynamical networks, Phys. Rev. E, 95, 032317 (2017) · doi:10.1103/PhysRevE.95.032317 |
[37] |
Ji, P.; Lin, W.; Kurths, J., Asymptotic scaling describing signal propagation in complex networks, Nat. Phys., 16, 1082-1083 (2020) · doi:10.1038/s41567-020-1025-3 |
[38] |
Bao, X.; Hu, Q.; Ji, P.; Lin, W.; Kurths, J.; Nagler, J., Impact of basic network motifs on the collective response to perturbations, Nat. Commun., 13, 5301 (2022) · doi:10.1038/s41467-022-32913-w |
[39] |
Grunert, K.; Holden, H.; Jakobsen, E. R.; Stenseth, N. C., Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig-Macarthur predator-prey model, Proc. Natl. Acad. Sci. U.S.A., 118, e2017463118 (2021) · Zbl 1485.92087 · doi:10.1073/pnas.2017463118 |
[40] |
Sasmal, S. K.; Ghosh, D., Effect of dispersal in two-patch prey-predator system with positive density dependence growth of preys, Biosystems, 151, 8-20 (2017) · doi:10.1016/j.biosystems.2016.11.003 |