Bifurcations and Pattern Formation in a Predator-Prey Model
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[1] Rodrigo Ramos-Jiliberto,et al. Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stability , 2003 .
[2] Yongli Song,et al. Steady-State, Hopf and steady-State-Hopf bifurcations in Delay differential equations with Applications to a damped harmonic oscillator with Delay Feedback , 2012, Int. J. Bifurc. Chaos.
[3] Feng Rao. Spatiotemporal complexity of a three-species ratio-dependent food chain model , 2014 .
[4] Yongli Cai,et al. Dynamics of a Leslie–Gower predator–prey model with additive Allee effect , 2015 .
[5] Yuan Yuan,et al. Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation , 2017, SIAM J. Appl. Dyn. Syst..
[6] Andrei Korobeinikov,et al. A Lyapunov function for Leslie-Gower predator-prey models , 2001, Appl. Math. Lett..
[7] Mingxin Wang,et al. Dynamics and patterns of a diffusive Leslie–Gower prey–predator model with strong Allee effect in prey , 2016 .
[8] Junjie Wei,et al. Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production , 2014 .
[9] Rui Peng,et al. Spatiotemporal patterns in a reaction–diffusion model with the Degn–Harrison reaction scheme☆ , 2013 .
[10] Shangjiang Guo,et al. Bifurcation and spatio-temporal patterns in a diffusive predator–prey system , 2018, Nonlinear Analysis: Real World Applications.
[11] Pablo Aguirre,et al. A general class of predation models with multiplicative Allee effect , 2014 .
[12] Weiming Wang,et al. Positive steady states in an epidemic model with nonlinear incidence rate , 2017, Comput. Math. Appl..
[13] Zhen Jin,et al. Influence of isolation degree of spatial patterns on persistence of populations , 2016 .
[14] Yongli Cai,et al. Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion , 2016 .
[15] Junjie Wei,et al. Stability and Hopf bifurcation in a diffusive predator-prey system incorporating a prey refuge. , 2013, Mathematical biosciences and engineering : MBE.
[16] Yongli Cai,et al. Spatiotemporal dynamics of a Leslie–Gower predator–prey model incorporating a prey refuge , 2011 .
[17] Fengde Chen,et al. On a Leslie―Gower predator―prey model incorporating a prey refuge , 2009 .
[18] Gui-Quan Sun,et al. Pattern dynamics of a Gierer–Meinhardt model with spatial effects , 2017 .
[19] Yuan Lou,et al. Qualitative behaviour of positive solutions of a predator—prey model: effects of saturation , 2001, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[20] Yongli Cai,et al. Spatiotemporal Dynamics in a Reaction-Diffusion Epidemic Model with a Time-Delay in Transmission , 2015, Int. J. Bifurc. Chaos.
[21] P. H. Leslie. SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS , 1948 .
[22] J. Gower,et al. The properties of a stochastic model for the predator-prey type of interaction between two species , 1960 .
[23] Xianzhong Zeng,et al. Non-constant positive steady states of a prey–predator system with cross-diffusions☆ , 2007 .
[24] Junjie Wei,et al. Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system ✩ , 2009 .
[25] Ping Bi,et al. Periodicity in a ratio-dependent predator–prey system with stage-structured predator on time scales , 2008 .
[26] Wonlyul Ko,et al. Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge , 2006 .
[27] Yongli Cai,et al. Turing patterns in a reaction–diffusion epidemic model , 2017 .
[28] Yun Kang,et al. Complex Dynamics of a host–parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment , 2018 .
[29] Eduardo Sáez,et al. Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect , 2009 .
[30] A. Turing. The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.
[31] Rui Wang,et al. Bifurcation Analysis of a Generic Reaction-Diffusion Turing Model , 2014, Int. J. Bifurc. Chaos.
[32] Sanling Yuan,et al. Retraction notice to “Bifurcation analysis in the delayed Leslie–Gower predator–prey system” [Appl. Math. Model. 33 (11) (2009) 4049–4061] , 2013 .
[33] M. A. Aziz-Alaoui,et al. Analysis of a predator–prey model with modified Leslie–Gower and Holling-type II schemes with time delay , 2006 .
[34] Yaying Dong,et al. Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme , 2015 .