Open AccessFuzzy optimal harvesting of a prey-predator model in the presence of toxicity with prey refuge under imprecise parameters
Author(s) -
Shuqi Zhai,
Qinglong Wang,
Yasuyuki Takata
Publication year - 2022
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.2022558
Subject(s) - predation , interval (graph theory) , stability (learning theory) , fuzzy logic , mathematics , mathematical optimization , predator , control theory (sociology) , computer science , ecology , artificial intelligence , machine learning , biology , control (management) , combinatorics
The objective of this paper is to investigate the dynamic behaviors of a prey-predator model incorporating the effect of toxic substances with prey refuge under imprecise parameters. We handle these biological parameters in model by using interval numbers. The existence together with stability of biological equilibria are obtained. We also analyze the existence conditions of the bionomic equilibria. The optimal harvesting strategy is explored by taking into account instantaneous annual discount rate under fuzzy conditions. Three numeric examples are performed to illustrate our analytical findings.