Dynamical behavior of a generalized eco-epidemiological system with prey refuge

@article{Wang2018DynamicalBO,
  title={Dynamical behavior of a generalized eco-epidemiological system with prey refuge},
  author={Shufan Wang and Zhi-hui Ma and Wenting Wang},
  journal={Advances in Difference Equations},
  year={2018},
  volume={2018},
  pages={1-20}
}
A generalized eco-epidemiological system with prey refuge is proposed in this paper. The saturation incidence kinetics and a generalized functional response are used to describe the contact process and the predation process, respectively. Based on mathematical issue, the local and global stability properties, Hopf bifurcation, and permanence of the dynamical system are investigated. Based on the ecological aspects, the impact of prey refuge on the dynamical consequences of the eco… 
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13 Citations
Background Citations
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13 Citations

Dynamical of Ratio-Dependent Eco-epidemical Model with Prey Refuge
This paper discusses the dynamic analysis of three species in the eco-epidemiology model by considering the ratio-dependent function and prey refuge. The prey refuge is applied under the fact that…
Dynamics of an eco-epidemiological system with disease in competitive prey species
The objective of the present paper is to investigate the dynamics of an eco-epidemiological system with predator’s hyperbolic mortality and Holling type II functional response. The local stability,…
Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting
TLDR
A mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed and it is observed that the system has a chaotic dynamics.
Dynamics of Infected Predator-Prey System with Nonlinear Incidence Rate and Prey in Refuge
TLDR
It is found that prey refuge can prevent extinction in prey populations in the predator-prey model with the spread of infected disease that is denoted by nonlinear incidence rate and adding prey refuge.
Stability and bifurcation analysis of a diffusive modified Leslie-Gower prey-predator model with prey infection and Beddington DeAngelis functional response
Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model
Dynamical analysis of a fractional order eco-epidemiological model with nonlinear incidence rate and prey refuge
In this paper, a fractional order eco-epidemiological model with nonlinear incidence rate is studied. The populations are divided into healthy prey, infected prey and predator. A prey refuge was…
Dynamical behavior of two predators–one prey model with generalized functional response and time-fractional derivative
The behavior of any complex dynamic system is a natural result of the interaction between the components of that system. Important examples of these systems are biological models that describe the…
Effects of Additional Food on the Dynamics of a Three Species Food Chain Model Incorporating Refuge and Harvesting
Abstract In this paper, a three species food chain model has been developed among the interaction of prey, predator and super predator. It is assumed that the predator shows refuge behavior to the…
Stability analysis of the fractional-order prey-predator model with infection
ABSTRACT In this paper, we propose a fractional-order prey-predator model with infection on both populations. First, we prove some important results such as existence, uniqueness, non-negativity and…
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References

SHOWING 1-10 OF 38 REFERENCES
A delayed eco-epidemiological system with infected prey and predator subject to the weak Allee effect.
On an eco-epidemiological model with prey harvesting and predator switching: Local and global perspectives
Role of infection on the stability of a predator-prey system with several response functions--a comparative study.
Complex dynamics of an eco-epidemiological model with different competition coefficients and weak Allee in the predator
Effects of prey refuges on a predator-prey model with a class of functional responses: the role of refuges.
Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stability
Prey-predator dynamics with prey refuge providing additional food to predator
Effects of Optimal Antipredator Behavior of Prey on Predator-Prey Dynamics: The Role of Refuges.
  • Křivan
  • Environmental Science, Mathematics
    Theoretical population biology
  • 1998
TLDR
It is shown that optimal antipredator behavior of prey leads to persistence and reduction of oscillations in population densities and adaptive prey behavior does not lead to a stable equilibrium but to the reduction of population fluctuations.
Stabilization and complex dynamics in a predator-prey model with predator suffering from an infectious disease
A Model Based Theoretical Study on Cannibalistic Prey–Predator System with Disease in Both Populations
In this paper, we propose a prey–predator system with disease in both the prey and predator populations. We also consider that the predator population is cannibalistic in nature and the disease…
...
...