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 …

Stability and bifurcation analysis in a predator–prey system with Michaelis–Menten type predator harvesting

D Hu, H Cao - Nonlinear Analysis: Real World Applications, 2017 - Elsevier
The stability and bifurcation analysis for a predator–prey system with the nonlinear Michaelis–
Menten type predator harvesting are taken into account. The existence and stability of …

Dynamics of an additional food provided predator–prey system with prey refuge dependent on both species and constant harvest in predator

S Mondal, GP Samanta - Physica A: Statistical Mechanics and Its …, 2019 - Elsevier
In the present work, we investigate on the dynamics of predator–prey model with prey refuge
in proportion to both species and the effect of additional food provided to the predator. A …

Stability and bifurcation analysis of a discrete prey–predator model with square-root functional response and optimal harvesting

P Chakraborty, U Ghosh, S Sarkar - Journal of Biological Systems, 2020 - World Scientific
In this paper, we have considered a discrete prey–predator model with square-root
functional response and optimal harvesting policy. This type of functional response is used …

The dynamics of a harvested predator–prey system with Holling type IV functional response

X Liu, Q Huang - Biosystems, 2018 - Elsevier
The paper aims to investigate the dynamical behavior of a predator–prey system with
Holling type IV functional response in which both the species are subject to capturing. We …

Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays

A Gupta, A Kumar, B Dubey - International Journal of …, 2022 - World Scientific
In this paper, we analyze a system of delay differential equations incorporating prey's refuge,
fear, fear-response delay, extra food for predators and their gestation lag. First, we examined …

Patterns induced by super cross-diffusion in a predator-prey system with Michaelis–Menten type harvesting

B Liu, R Wu, L Chen - Mathematical Biosciences, 2018 - Elsevier
Turing instability and pattern formation in a super cross-diffusion predator-prey system with
Michaelis–Menten type predator harvesting are investigated. Stability of equilibrium points is …

Structure of positive solutions for a reaction-diffusion model with additional food and protection zone

J Wang, Y Jia - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
The additional food and protection zone provided to predator and prey respectively are
introduced into a reaction-diffusion predation model with nonlinear functional response in …

Effects of additional resource and degeneracy on the dynamics for a diffusive predator-prey system

Y Jia, J Wang, Y Li - Journal of Differential Equations, 2025 - Elsevier
A predator-prey system with Holling-II functional response in the presence of additional food
resource and degeneracy is proposed in this paper. The main objective is to show the …

The impact of provision of additional food to predator in predator–prey model with combined harvesting in the presence of toxicity

R Rani, S Gakkhar - Journal of Applied Mathematics and Computing, 2019 - Springer
In this article, the global dynamics of a predator–prey system incorporating combined
harvesting has been investigated. The additional food is being provided to the predator …