Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise

Autor: Nafeisha Tuerxun, Xamxinur Abdurahman, Zhidong Teng
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Biological Dynamics, Vol 14, Iss 1, Pp 32-56 (2020)
Druh dokumentu: article
ISSN: 1751-3758
1751-3766
17513758
DOI: 10.1080/17513758.2019.1707888
Popis: In this paper, we first investigate a stochastic two-predators one-prey model with Lévy noise and distributed delays. The global dynamical behaviour is discussed. The criteria on the existence of global positive solutions, stochastic boundedness, extinction and global asymptotic stability in the mean with probability one are established. And then, the harvesting for each species is introduced to the model. The optimal harvesting strategy and the maximum of expectation of sustainable yield (MESY, for short) are further established.
Databáze: Directory of Open Access Journals