Random variation in model parameters: A comprehensive review of stochastic logistic growth equation

MAU Karim, V Aithal, AR Bhowmick - Ecological Modelling, 2023 - Elsevier
Biological growth curves are central to interdisciplinary research that seeks to improve our
understanding of natural processes. Applications of growth equations are widespread …

Optimal harvesting of prey–predator system with interval biological parameters: a bioeconomic model

D Pal, GS Mahaptra, GP Samanta - Mathematical biosciences, 2013 - Elsevier
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 …

Analysis of a stochastic tri-trophic food-chain model with harvesting

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 …

Dynamics of a stochastic regime-switching predator–prey model with harvesting and distributed delays

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 …

Dynamics of a stochastic regime-switching predator–prey model with modified Leslie–Gower Holling-type II schemes and prey harvesting

M Liu - Nonlinear Dynamics, 2019 - Springer
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 …

Optimal harvesting control and dynamics of two-species stochastic model with delays

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 …

[HTML][HTML] A prey-predator model with harvesting for fishery resource with reserve area

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 …

A bioeconomic modeling of two-prey and one-predator fishery model with optimal harvesting policy through hybridization approach

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 …

Optimal harvesting of a stochastic logistic model with time delay

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 …

Optimal impulsive harvesting strategy of a stochastic Gompertz model in periodic environments

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 …