Global dynamics and bifurcation in a stage structured prey–predator fishery model with harvesting

K Chakraborty, S Jana, TK Kar - Applied Mathematics and Computation, 2012 - Elsevier
This paper describes a prey–predator model with stage structure for predator and selective
harvesting effort on predator population. The Holling type II functional response function is …

Dynamical analysis for a fractional-order prey–predator model with Holling III type functional response and discontinuous harvest

Y Xie, Z Wang, B Meng, X Huang - Applied Mathematics Letters, 2020 - Elsevier
In this letter, a fractional-order prey–predator model with Holling III type functional response
and discontinuous harvest is considered. The non-negative and boundedness of the model …

Rich Dynamics of a Predator‐Prey System with Different Kinds of Functional Responses

K Sarkar, S Khajanchi, P Chandra Mali, JJ Nieto - Complexity, 2020 - Wiley Online Library
In this study, we investigate a mathematical model that describes the interactive dynamics of
a predator‐prey system with different kinds of response function. The positivity …

[HTML][HTML] Dynamic behaviors of a non-selective harvesting Lotka–Volterra amensalism model incorporating partial closure for the populations

B Chen - Advances in Difference Equations, 2018 - Springer
A non-selective harvesting Lotka–Volterra amensalism model incorporating partial closure
for the populations is proposed and studied in this paper. Local and global stability of the …

Discrete system insights of logistic quota harvesting model: a fuzzy difference equation approach

A Alamin, M Rahaman, SP Mondal… - Journal of uncertain …, 2022 - World Scientific
Optimal harvesting modeling is a matter of great importance for the sustainability of the eco-
system. It is customary to consider the population dynamics in a continuous frame of time. In …

[HTML][HTML] A Rosenzweig–MacArthur model with continuous threshold harvesting in predator involving fractional derivatives with power law and mittag–leffler kernel

HS Panigoro, A Suryanto, WM Kusumawinahyu, I Darti - Axioms, 2020 - mdpi.com
The harvesting management is developed to protect the biological resources from over-
exploitation such as harvesting and trapping. In this article, we consider a predator–prey …

[HTML][HTML] Permanence, partial survival, extinction, and global attractivity of a nonautonomous harvesting Lotka–Volterra commensalism model incorporating partial …

Y Liu, X Xie, Q Lin - Advances in Difference Equations, 2018 - Springer
We propose and study a nonautonomous harvesting Lotka–Volterra commensalism model
incorporating partial closure for the populations. By using the differential inequality theory …

Dynamical behavior of three species predator–prey system with mutual support between non refuge prey

D Pal, P Santra, GS Mahapatra - Ecological Genetics and Genomics, 2017 - Elsevier
In this paper, we study the effect of refuge and harvesting in a three species model of two
prey and one predator, where the two prey refuge groups are helping each other and …

Bifurcation Analysis of a Reaction–Diffusion Rumor Spreading Model with Nonsmooth Control

L Zhu, W Zheng, X Zhang - International Journal of Bifurcation and …, 2022 - World Scientific
Rumors may cause serious harm to social productivity and life. Studying the dynamics of
rumor propagation can help provide corresponding countermeasures to control …

[HTML][HTML] Dynamics of a delayed predator–prey model with predator migration

Y Chen, F Zhang - Applied Mathematical Modelling, 2013 - Elsevier
Based on the availability of prey and a simple predator–prey model, we propose a delayed
predator–prey model with predator migration to describe biological control. We first study the …