Pattern formation in the Holling–Tanner predator–prey model with predator-taxis. A nonstandard finite difference approach

Heather Banda, Michael Chapwanya and Phindile Dumani

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 196, issue C, 336-353

Abstract: A characteristic feature of living organisms is their response to the environment in search for food or reproduction opportunities. This paper is devoted to the investigation of the pattern formation of the Holling-Tanner predator–prey model with predator-taxis. We first summarise the qualitative properties of the model where a threshold for the appearance of pattern formation is specified. Then we design and analyse a coupled nonstandard finite difference and finite volume scheme for the proposed model. Numerical simulations are provided to support theoretical findings.

Keywords: Holling–Tanner; Predator–prey; Prey-taxis; Pattern formation; nonstandard finite difference (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:196:y:2022:i:c:p:336-353

DOI: 10.1016/j.matcom.2022.01.028

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