The paper presents the study of one prey one predator harvesting model with imprecise biological parameters. Due to the lack of precise numerical information of the biological …
M Liu, C Bai - Journal of Mathematical Biology, 2016 - Springer
We consider a tri-trophic stochastic food-chain model with harvesting. We first establish critical values between persistence in mean and extinction for each species. The results …
M Liu, X He, J Yu - Nonlinear Analysis: Hybrid Systems, 2018 - Elsevier
In this paper, we use a Markovian switching process to model the telephone noise in the environment, and propose a stochastic regime-switching predator–prey model with …
This paper is concerned with a stochastic Leslie–Gower Holling-type II predator–prey system with regime switching and prey harvesting. Firstly, sharp sufficient criteria for the …
L Liu, X Meng - Advances in Difference Equations, 2017 - Springer
Taking the stochastic effects on growth rate and harvesting effort into account, we propose a stochastic delay model of species in two habitats. The main aim of this paper is to investigate …
Y Lv, R Yuan, Y Pei - Applied Mathematical Modelling, 2013 - Elsevier
Considering that over exploitation would result in the extinction of the population, we propose and investigate a Holling II functional response prey-predator model with …
D Pal, GS Mahapatra - Applied Mathematics and Computation, 2014 - Elsevier
This paper introduces an imprecise prey–predator model by using interval and fuzzy number in modeling of prey and predator interaction. In a prey–predator system, values of the …
M Liu, C Bai - Journal of Nonlinear Science, 2015 - Springer
This note is concerned with the optimal harvesting of a stochastic logistic model with time delay. The classical optimal harvesting question of this type of model is difficult because it is …
Z Wang, M Liu - Applied Mathematics Letters, 2022 - Elsevier
This research focuses on optimal impulsive harvesting strategy of a stochastic Gompertz model with periodic coefficients. By investigating the associated Hamilton function, the …