Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge

B Dubey, A Kumar, AP Maiti - Communications in Nonlinear Science and …, 2019 - Elsevier
In this paper, we consider a two-dimensional prey-predator system with two delays. One
delay is for negative feedback of the prey population and another is for gestation delay of the …

Complex pattern formations induced by the presence of cross-diffusion in a generalized predator–prey model incorporating the Holling type functional response and …

F Souna, M Belabbas, Y Menacer - Mathematics and Computers in …, 2023 - Elsevier
The interaction between predator and their prey is one of the most complex processes in
ecosystems due to its structure and nature. Many extrinsic and intrinsic factors can affect the …

[PDF][PDF] Stability, bifurcation and transition to chaos in a model of immunosensor based on lattice differential equations with delay

V Martsenyuk, A Klos-Witkowska… - Electronic Journal of …, 2018 - core.ac.uk
In the work we proposed the model of immunosensor, which is based on the system of lattice
differential equations with delay. The conditions of local asymptotic stability for endemic …

Dynamics of prey–predator model with stage structure in prey including maturation and gestation delays

B Dubey, A Kumar - Nonlinear Dynamics, 2019 - Springer
This study proposes a three-dimensional prey–predator model with stage structure in prey
(immature and mature) including maturation delay in prey population and gestation delay in …

A delay-induced predator–prey model with Holling type functional response and habitat complexity

Z Ma, S Wang - Nonlinear Dynamics, 2018 - Springer
A delay-induced predator–prey system with the effect of habitat complexity and Holling type
functional response is proposed. The dynamical behaviors of the presented system are …

Bifurcation analysis of a delay-induced predator–prey model with Allee effect and prey group defense

Y Ye, Y Zhao - International Journal of Bifurcation and Chaos, 2021 - World Scientific
In this paper, we establish a predator–prey model with focus on the Allee effect and prey
group defense. The positivity and boundedness of the model, existence of equilibrium point …

[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 …

Delay induced nonlinear dynamics of oxygen-plankton interactions

A Gökçe, S Yazar, Y Sekerci - Chaos, Solitons & Fractals, 2020 - Elsevier
The present investigation deals with a generic oxygen-plankton model with constant time
delays using the combinations of analytical and numerical methods. First, a two-component …

Habitat complexity, dispersal and metapopulations: macroscopic study of a predator–prey system

D Jana, N Bairagi - Ecological Complexity, 2014 - Elsevier
Habitat complexity is supposed to reduce predation rates by decreasing encounter rates
between predators and prey. It is also reasonably true that structural complexity of habitat …

Mathematical modeling and bifurcation analysis of a delayed eco-epidemiological model with disease in predator and linear harvesting

H Mollah, S Sarwardi - International Journal of Modelling and …, 2024 - Taylor & Francis
This study proposes a three-dimensional prey-predator model with disease in predators,
including the time delay due to the gestation of the predator population. The positive …