Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis | Zendy

Mostafa Bendahmane | Zendy

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Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis

Author(s) -

Mostafa Bendahmane

Publication year - 2008

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2008.3.863

Subject(s) - predation , uniqueness , taxis , generalization , nonlinear system , mathematics , reaction–diffusion system , diffusion , fixed point theorem , statement (logic) , mathematical analysis , physics , ecology , biology , thermodynamics , botany , quantum mechanics , political science , law

In this paper, we consider a system of nonlinear partial differential equations modeling the Lotka Volterra interactions of preys and actively moving predators with prey-taxis and spatial diffusion. The interaction between predators are modelized by the statement of a food pyramid condition. We establish the existence of weak solutions by using Schauder fixed-point theorem and uniqueness via duality technique. This paper is a generalization of the results obtained in [2].

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