Turing instability in two-patch predator-prey population dynamics
نویسندگان
چکیده
منابع مشابه
Predator-prey dynamics in models of prey dispersal in two-patch environments.
Models are presented for a single species that disperses between two patches of a heterogeneous environment with barriers between patches and a predator for which the dispersal between patches does not involve a barrier. Conditions are established for the existence, uniform persistence, and local and global stability of positive steady states. In particular, an example that demonstrates both th...
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The reaction–diffusion Holling–Tanner predator–prey model with Neumann boundary condition is considered. We perform a detailed stability and Hopf bifurcation analysis and derive conditions for determining the direction of bifurcation and the stability of the bifurcating periodic solution. For partial differential equation (PDE), we consider the Turing instability of the equilibrium solutions an...
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Ratio-dependent predator-prey models have been increasingly favored by field ecologists where predator-prey interactions have to be taken into account the process of predation search. In this paper we study the conditions of the existence and stability properties of the equilibrium solutions in a reaction-diffusion model in which predator mortality is neither a constant nor an unbounded functio...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Computer Science
سال: 2018
ISSN: 2008-949X
DOI: 10.22436/jmcs.018.03.01