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2018 Stochastic predator-prey model with Leslie-Gower and Holling-type II schemes with regime switching
Jingliang Lv, Ke Wang
Rocky Mountain J. Math. 48(4): 1201-1218 (2018). DOI: 10.1216/RMJ-2018-48-4-1201

Abstract

A predator-prey model with Leslie-Gower and Holling-type II schemes with regime switching will be considered, that is, both white and color noises are taken into account. We firstly show that there exists a globally unique solution to the stochastic predator-prey model by use of the comparison theorem. Then, asymptotic properties of the system will be examined and the conditions under which the system is stochastically persistent will be given. Moreover, lastly, we analyze the optimal harvesting policy of the stochastic prey-predator model with Markovian switching.

Citation

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Jingliang Lv. Ke Wang. "Stochastic predator-prey model with Leslie-Gower and Holling-type II schemes with regime switching." Rocky Mountain J. Math. 48 (4) 1201 - 1218, 2018. https://doi.org/10.1216/RMJ-2018-48-4-1201

Information

Published: 2018
First available in Project Euclid: 30 September 2018

zbMATH: 06958776
MathSciNet: MR3859755
Digital Object Identifier: 10.1216/RMJ-2018-48-4-1201

Subjects:
Primary: 60H10, 60H20

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 4 • 2018
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