Banda, HeatherChapwanya, MichaelDumani, Phindile2022-02-232022-06Banda, H., Chapwanya, M. & Dumani, P. 2022, 'Pattern formation in the Holling-Tanner predator-prey model with predator-taxis. A nonstandard finite difference approach', Mathematics and Computers in Simulation, vol. 196, pp. 336-353.0378-4754 (print)1872-7166 (online)10.1016/j.matcom.2022.01.028http://hdl.handle.net/2263/84158A 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.en© 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Mathematics and Computers in Simulation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Mathematics and Computers in Simulation, vol. 196, pp. 336-353, 2022, doi : 10.1016/j.matcom.2022.01.028.Holling–TannerPredator–preyPrey-taxisPattern formationNonstandard finite difference (NSFD)Postprint Article