Open AccessDynamics and optimal harvesting of a stochastic predator-prey system with regime switching, S-type distributed time delays and Lévy jumps
Author(s) -
Yuanfu Shao,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022225
Subject(s) - extinction (optical mineralogy) , mathematics , stability (learning theory) , stochastic differential equation , control theory (sociology) , persistence (discontinuity) , statistical physics , exponential stability , predation , type (biology) , computer science , physics , ecology , engineering , biology , control (management) , geotechnical engineering , nonlinear system , quantum mechanics , machine learning , artificial intelligence , optics
This work is concerned with a stochastic predator-prey system with S-type distributed time delays, regime switching and Lévy jumps. By use of the stochastic differential comparison theory and some inequality techniques, we study the extinction and persistence in the mean for each species, asymptotic stability in distribution and the optimal harvesting effort of the model. Then we present some simulation examples to illustrate the theoretical results and explore the effects of regime switching, distributed time delays and Lévy jumps on the dynamical behaviors, respectively.