Dynamics of predator-prey models with refuge, harvesting and dispersal

A Hare, J Rebaza - Quaestiones Mathematicae, 2015 - Taylor & Francis
The dynamics of predator-prey models with different prey harvesting functions and prey
refuge is studied. This study includes a three-dimensional model to account for the dispersal …

[HTML][HTML] Dynamics of prey threshold harvesting and refuge

J Rebaza - Journal of Computational and Applied Mathematics, 2012 - Elsevier
The dynamics of a predator–prey model with continuous threshold prey harvesting and prey
refuge is studied. One central question is how harvesting and refuge could directly affect the …

Impact of prey refuge in a diffusive prey predator model with prey harvesting, mutually interfering predator and additional food for predator

A Sha, DS Mandal, A Chekroun - International Journal of Applied and …, 2023 - Springer
In this paper, various patterns in a predator–prey system with prey refuge are investigated
where mutually interfering predator, prey harvesting, and additional food for predators are …

Stability of a predator–prey model with refuge effect

S Kapçak, S Elaydi, Ü Ufuktepe - Journal of Difference Equations …, 2016 - Taylor & Francis
We consider a predator–prey model, where some prey are completely free from predation
within a temporal or spacial refuge. The most common type of spacial refuge, that we …

Dynamics of a harvested prey–predator model with prey refuge dependent on both species

M Manarul Haque, S Sarwardi - International Journal of Bifurcation …, 2018 - World Scientific
The present paper deals with a prey–predator model with prey refuge in proportion to both
species, and the independent harvesting of each species. Our study shows that using refuge …

A Discrete Predator-prey Model with Allee and Refuge Effect

S Kapçak - European Journal of Pure and Applied Mathematics, 2023 - ejpam.com
We consider a predator-prey model, where some prey are completely free from predation
within a temporal or spacial refuge and the predator population is subject to Allee effect. We …

Bifurcation and global stability of a discrete prey–predator model with saturated prey refuge

C Mondal, D Kesh, D Mukherjee - Mathematical Methods in the …, 2023 - Wiley Online Library
This article aims to describe the qualitative behavior of a discrete‐time prey–predator model
including prey refuge. It is assumed that the fraction of prey in refuge is a monotonically …

[PDF][PDF] Nonconstant predator harvesting on ratio-dependent predator-prey models

P Lenzini, J Rebaza - Appl. Math. Sci, 2010 - m-hikari.com
The dynamics of a ratio-dependent predator-prey model with two different non-constant
harvesting functions depending on the predator population is studied. Equilibria and …

[PDF][PDF] A predator-prey model with some cover on prey species

J Chattopadhyay, N Bairagi, RR Sarkar - Nonlinear Phenomena In …, 2000 - academia.edu
A predator-prey model with a constant number of refuge is proposed and analyzed. The
permanence of the solutions are studied and pointed out the role of prey refuge for survival …

[HTML][HTML] Bifurcations in a Leslie–Gower model with constant and proportional prey refuge at high and low density

CC García - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
Assuming that the prey refuge is proportional to the prey density if its population size is
below a critical threshold, or constant if its size is above the threshold, this paper proposes …