Open AccessStability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
Author(s) -
Qinglong Wang,
Shuqi Zhai,
Qi Liu,
Zhijun Liu
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021448
Subject(s) - pontryagin's minimum principle , predation , fuzzy logic , stability (learning theory) , control theory (sociology) , mathematics , fuzzy control system , mathematical optimization , computer science , optimal control , ecology , biology , control (management) , artificial intelligence , machine learning
In this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy, by Pontryagin's maximal principle, is also investigated under imprecise inflation and discount in fuzzy environment. Meticulous numerical simulations are performed to validate our theoretical analysis in detail.