Steady state bifurcation of a population model with chemotaxis

[1]  Mengxin Chen,et al.  Predator-taxis creates spatial pattern of a predator-prey model , 2022, Chaos, Solitons & Fractals.

[2]  Xiaoyan Gao Global Solution and Spatial Patterns for a Ratio-Dependent Predator–Prey Model with Predator-Taxis , 2022, Results in Mathematics.

[3]  Mengxin Chen,et al.  Hopf bifurcation in delayed nutrient-microorganism model with network structure , 2022, Journal of biological dynamics.

[4]  G. Samanta,et al.  Impact of Fear and Habitat Complexity in a Predator-Prey System with Two Different Shaped Functional Responses: A Comparative Study , 2021, Discrete Dynamics in Nature and Society.

[5]  Guoqiang Ren,et al.  Global boundedness and stability of solutions for prey-taxis model with handling and searching predators , 2021 .

[6]  Changwook Yoon Global dynamics of a Lotka-Volterra type prey–predator model with diffusion and predator-taxis , 2021, Applicable Analysis.

[7]  Mengxin Chen,et al.  Hopf-Hopf bifurcation in the delayed nutrient-microorganism model , 2020 .

[8]  Bin Liu,et al.  Global solution for a general cross-diffusion two-competitive-predator and one-prey system with predator-taxis , 2020, Commun. Nonlinear Sci. Numer. Simul..

[9]  Xiaosong Tang,et al.  Spatiotemporal Dynamics in a Diffusive Bacterial and Viral Diseases Propagation Model with Chemotaxis , 2020, Qualitative Theory of Dynamical Systems.

[10]  Wenjie Zuo,et al.  Stability and Double-Hopf Bifurcations of a Gause–Kolmogorov-Type Predator–Prey System with Indirect Prey-Taxis , 2020, Journal of Dynamics and Differential Equations.

[11]  Canrong Tian,et al.  Delay-driven spatial patterns in a network-organized semiarid vegetation model , 2020, Appl. Math. Comput..

[12]  Yongli Cai,et al.  Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis , 2020, Applicable Analysis.

[13]  Inkyung Ahn,et al.  Effect of prey-taxis on predator's invasion in a spatially heterogeneous environment , 2019, Appl. Math. Lett..

[14]  Liping Chen,et al.  Spatiotemporal dynamics in a ratio-dependent predator-prey model with time delay near the Turing-Hopf bifurcation point , 2019, Commun. Nonlinear Sci. Numer. Simul..

[15]  Junjie Wei,et al.  Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect , 2018, Chaos, Solitons & Fractals.

[16]  Xun Cao,et al.  Turing Instability and Turing–Hopf Bifurcation in Diffusive Schnakenberg Systems with Gene Expression Time Delay , 2018, Journal of Dynamics and Differential Equations.

[17]  Wenbin Yang Existence and Asymptotic Behavior of Solutions for a Predator-Prey System with a Nonlinear Growth Rate , 2017 .

[18]  Qingshan Zhang,et al.  An attraction‐repulsion chemotaxis system with logistic source , 2016 .

[19]  Bernard J. Matkowsky,et al.  Interaction of Turing and Hopf modes in the superdiffusive Brusselator model , 2009, Appl. Math. Lett..

[20]  Ali H. Nayfeh,et al.  Order reduction of retarded nonlinear systems – the method of multiple scales versus center-manifold reduction , 2008 .

[21]  Dirk Horstmann,et al.  Boundedness vs. blow-up in a chemotaxis system , 2005 .

[22]  Herbert Amann,et al.  Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems , 1990, Differential and Integral Equations.

[23]  Junping Shi,et al.  Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis , 2021, Discrete & Continuous Dynamical Systems - B.

[24]  Zhaosheng Feng,et al.  Hopf Bifurcation in a Delayed Single Species Network System , 2021, Int. J. Bifurc. Chaos.

[25]  J. Bell,et al.  Pattern formation in a predator-mediated coexistence model with prey-taxis , 2020, Discrete & Continuous Dynamical Systems - B.