About the optimal harvesting of a fuzzy predator–prey system: a bioeconomic model incorporating prey refuge and predator mutual interference

Abstract

To understand roles of fuzzy biological parameters, in this paper, we propose a fuzzy predator–prey harvesting model that incorporates both the effects of prey refuge and predator mutual interference. Using the triangular fuzzy numbers for the imprecise parameters, we first study the existence of the feasible equilibria and their global stability and then discuss the bionomic equilibrium and the possible optimal harvesting policy. Numerical simulations are carried out to illustrate our analytical results, based on which discussions and conclusions are made. They show that the fuzziness of biological parameters can greatly affect the dynamics of the ecological system.