Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
In this paper, a fractional-order predator-prey model incorporating a prey refuge is proposed.
We first prove the existence, uniqueness, non-negativity and boundedness of the solutions …
We first prove the existence, uniqueness, non-negativity and boundedness of the solutions …
A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel
This paper is about to formulate a design of predator–prey model with constant and time
fractional variable order. The predator and prey act as agents in an ecosystem in this …
fractional variable order. The predator and prey act as agents in an ecosystem in this …
Stability switching and chaos in a multiple delayed prey–predator model with fear effect and anti-predator behavior
Recent studies demonstrate that the density of prey population is not only affected by direct
killing by the predator, but the fear in prey caused by predator also reduces it by cutting …
killing by the predator, but the fear in prey caused by predator also reduces it by cutting …
Global analysis of a delayed density dependent predator–prey model with Crowley–Martin functional response
In this paper, we present and study a two-dimensional continuous time dynamical system
modelling a predator–prey with discrete delay incorporating Crowley–Martin functional …
modelling a predator–prey with discrete delay incorporating Crowley–Martin functional …
Dynamical analysis of a fractional-order Rosenzweig–MacArthur model incorporating a prey refuge
This paper considers a fractional order Rosenzweig-MacArthur (RM) model incorporating a
prey refuge. The model is constructed and analyzed in detail. The existence, uniqueness …
prey refuge. The model is constructed and analyzed in detail. The existence, uniqueness …
Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge
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 …
delay is for negative feedback of the prey population and another is for gestation delay of the …
Impact of fear effect and prey refuge on a fractional order prey–predator system with Beddington–DeAngelis functional response
In this article, a fractional-order prey–predator system with Beddington–DeAngelis functional
response incorporating two significant factors, namely, dread of predators and prey shelter …
response incorporating two significant factors, namely, dread of predators and prey shelter …
Survivability and stochastic bifurcations for a stochastic Holling type II predator-prey model
X Zou, Y Zheng, L Zhang, J Lv - Communications in Nonlinear Science and …, 2020 - Elsevier
In this paper, the dynamic properties of a stochastic model are studied through the stability of
ergodic invariant measures on invariant sets. The threshold analysis of strong stochastic …
ergodic invariant measures on invariant sets. The threshold analysis of strong stochastic …
A Michaelis–Menten predator–prey model with strong Allee effect and disease in prey incorporating prey refuge
Here, we have proposed a predator–prey model with Michaelis–Menten functional response
and divided the prey population in two subpopulations: susceptible and infected prey …
and divided the prey population in two subpopulations: susceptible and infected prey …
Dynamic behaviour of a reaction–diffusion predator–prey model with both refuge and harvesting
An appropriate mathematical structure to describe the population dynamics is given by the
partial differential equations of reaction–diffusion type. The spatiotemporal dynamics and …
partial differential equations of reaction–diffusion type. The spatiotemporal dynamics and …