Mathematical and numerical analysis for predator-prey system in a polluted environment

DOI10.3934/nhm.2010.5.813zbMath1262.35123OpenAlexW2074148469MaRDI QIDQ1943842

Verónica Anaya, Mostafa Bendahmane, Mauricio Sepúlveda

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2010.5.813

zbMATH Keywords

Schauder fixed-point theoremweak solutionexistence

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

Error estimates for Galerkin finite element approximations of time-fractional nonlocal diffusion equation ⋮ Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy ⋮ Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model ⋮ Efficient numerical methods for spatially extended population and epidemic models with time delay ⋮ Weak-renormalized solutions for predator–prey system ⋮ Numerical analysis for a three interacting species model with nonlocal and cross diffusion ⋮ Identification of the initial population of a nonlinear predator-prey system backwards in time

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