On a Predator-Prey Model Involving Age and Spatial Structure

Okana S. Sougué, Oumar Traoré and Harvinder S. Sidhu

International Journal of Mathematics and Mathematical Sciences, 2022, vol. 2022, 1-23

Abstract: In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. Other results of existence concerning the spatial homogeneous problem and the stationary system are discussed. At last, numerical simulations are performed by using finite difference method to validate the results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5656953

DOI: 10.1155/2022/5656953

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