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Incorporating prey refuge into a predator–prey system with imprecise parameter estimates

Incorporating prey refuge into a predator–prey system with imprecise parameter estimates

Wang, Qinglong, Liu, Zhijun, Zhang, Zingan and Cheke, Robert ORCID: 0000-0002-7437-1934 (2017) Incorporating prey refuge into a predator–prey system with imprecise parameter estimates. Computational & Applied Mathematics, 36 (2). pp. 1067-1084. ISSN 0101-8205 (Print), 1807-0302 (Online) (doi:https://doi.org/10.1007/s40314-015-0282-8)

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Abstract

This article is concerned with the optimal harvesting of a predator–prey model with a prey refuge and imprecise biological parameters. We consider the model under impreciseness and introduce a parametric functional form of an interval which differs from those of models with precise biological parameters. The existence of all possible equilibria and stability of system are discussed. The bionomic equilibrium of the model is analyzed. Also, the optimal harvesting policy is derived using Pontryagin’s maximal principle. Numerical simulations are presented to verify the feasibilities of our analytical results.

Item Type: Article
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s40314-015-0282-8
Uncontrolled Keywords: Predator–prey system, Refuge, Interval number, Equilibrium, Stability, Optimal harvesting policy
Subjects: G Geography. Anthropology. Recreation > GE Environmental Sciences
Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > Natural Resources Institute > Agriculture, Health & Environment Department
Last Modified: 11 Jul 2018 10:20
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/14370

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