Fear effect in a predator-prey model with additional food, prey refuge and harvesting on super predator

AA Thirthar, SJ Majeed, MA Alqudah, P Panja… - Chaos, Solitons & …, 2022 - Elsevier
The shape of the interaction between three species: prey, predator, and super predator has
been considered in this work as a new predator-prey model. In this article, the fear of …

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 …

Dynamical analysis and chaos control in discrete-time prey-predator model

A Singh, P Deolia - Communications in Nonlinear Science and Numerical …, 2020 - Elsevier
In this work, a discretized two-dimensional Leslie-Gower prey-predator model is
investigated. The results for the existence and uniqueness and the conditions for the local …

Rich dynamics of a delay-induced stage-structure prey–predator model with cooperative behaviour in both species and the impact of prey refuge

S Pandey, U Ghosh, D Das, S Chakraborty… - … and Computers in …, 2024 - Elsevier
The prey–predator interaction between organisms living in an ecosystem is greatly affected
by the cooperation among the species as well as immature prey refuge in presence of time …

Delayed carrying capacity induced subcritical and supercritical Hopf bifurcations in a predator–prey system

NC Pati, B Ghosh - Mathematics and Computers in Simulation, 2022 - Elsevier
The effects of past activities of prey population on the dynamics of a predator–prey system
are explored by introducing a delayed carrying capacity of the prey. The delay-induced …

Stability and Hopf bifurcation of a within-host chikungunya virus infection model with two delays

Y Wang, X Liu - Mathematics and Computers in Simulation, 2017 - Elsevier
In this paper, a within-host chikungunya virus infection model with two delays is considered.
The basic reproductive number R 0 is formulated. If R 0< 1, the virus-free equilibrium is …

Modeling and analysis of a prey–predator system with disease in the prey

S Jana, TK Kar - Chaos, Solitons & Fractals, 2013 - Elsevier
A three dimensional ecoepidemiological model consisting of susceptible prey, infected prey
and predator is proposed and analysed in the present work. The parameter delay is …

Behavioural analysis of two prey-two predator model

A Jana, SK Roy - Ecological Complexity, 2021 - Elsevier
To deal with real-life diversity of our ecosystem, this paper analyzes two prey-two predator
model including both Type-I and Type-II functional responses. The interior equilibrium point …

[HTML][HTML] Hopf bifurcation and stability for predator–prey systems with Beddington–DeAngelis type functional response and stage structure for prey incorporating refuge

F Wei, Q Fu - Applied Mathematical Modelling, 2016 - Elsevier
A kind of stage-structured predator–prey model with Beddington–DeAngelis functional
response incorporating a prey refuge is investigated in this paper. By analyzing the …

Bifurcation and chaos in a discrete predator–prey model with holling type-iii functional response and harvesting effect

A Singh, P Deolia - Journal of Biological Systems, 2021 - World Scientific
In this paper, we study a discrete-time predator–prey model with Holling type-III functional
response and harvesting in both species. A detailed bifurcation analysis, depending on …