Qualitative analysis of a diffusive Crowley–Martin predator–prey model: the role of nonlinear predator harvesting

V Tiwari, JP Tripathi, S Abbas, JS Wang, GQ Sun… - Nonlinear …, 2019 - Springer
In this paper, we discuss a diffusive predator–prey system with mutually interfering predator
and nonlinear harvesting in predator with Crowley–Martin functional response. The …

Stationary patterns of a diffusive predator–prey model with Crowley–Martin functional response

S Chen, J Wei, J Yu - Nonlinear Analysis: Real World Applications, 2018 - Elsevier
A diffusive predator–prey system with predator interference and Neumann boundary
conditions is considered in this paper. We derive some results on the existence and …

Dynamics and pattern formation in homogeneous diffusive predator–prey systems with predator interference or foraging facilitation

X Zhang, H Zhu - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
We study a general diffusive predator–prey system under Neumann boundary conditions.
First, we examine the global attractor and persistence of the system, which characterize the …

Qualitative analysis on a diffusive and ratio-dependent predator–prey model

R Peng - IMA Journal of Applied Mathematics, 2013 - ieeexplore.ieee.org
Recently, ratio-dependent predator–prey models have been favoured by many biologists as
they better describe predator–prey interactions where predation involves a researching …

Interaction between prey and mutually interfering predator in prey reserve habitat: Pattern formation and the Turing–Hopf bifurcation

JP Tripathi, S Abbas, GQ Sun, D Jana… - Journal of the Franklin …, 2018 - Elsevier
In this paper, we propose a diffusive prey-predator system with mutually interfering predator
(Crowley–Martin functional response) and prey reserve. In particular, we develop and …

Stability and bifurcation of a reaction–diffusion predator–prey model with non-local delay and Michaelis–Menten-type prey-harvesting

X Zhang, H Zhao - International Journal of Computer Mathematics, 2016 - Taylor & Francis
We investigate a reaction–diffusion predator–prey system with homogeneous Neumann
boundary conditions and non-local delay due to predator gestation. By analysing the …

Dynamics of a harvested predator–prey model with predator-taxis

M Chen, R Wu - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
Abstract Effects of predator-taxis on the dynamics of a predator–prey model with Michaelis–
Menten type nonlinear harvesting are considered in this paper. Through theoretical analysis …

The dynamics of an Omnivore-predator-prey model with harvesting and two different nonlinear functional responses

SJ Majeed, RK Naji, AA Thirthar - AIP Conference Proceedings, 2019 - pubs.aip.org
In this paper, we proposed and analyzed the Omnivore-predator-prey model with the II-
Holling functional response to the interaction between Predator-Prey and the Nonlinear …

On a diffusive predator-prey model with nonlinear harvesting

P Feng - Mathematical Biosciences & Engineering, 2014 - aimsciences.org
In this paper, we study the dynamics of a diffusive Leslie-Gower model with a nonlinear
harvesting term on the prey. We analyze the existence of positive equilibria and their …

Global stability of a diffusive predator–prey model with discontinuous harvesting policy

X Zhang, H Zhao - Applied Mathematics Letters, 2020 - Elsevier
We investigate a diffusive predator–prey system with discontinuous harvesting function
under Neumann boundary conditions. Then the existence and some estimates of the …