Dynamics of an eco-epidemiological system with disease in competitive prey species

Shaikh, Absos Ali; Das, Harekrishna; Sarwardi, Sahabuddin

doi:10.1007/s12190-019-01295-6

Cited by 12 publications

(7 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hilker and Schmitz [12] observed that introducing disease into the Rosenzweig- MacArthur model can stabilize prey-predator oscillations. Some studies have been carried out on eco-epidemiological models with disease either in prey [13][14][15][16] or in predator [17][18][19][20] or in both populations [21][22][23]. The infectious diseases among prey and predator populations are disorders caused by bacteria or virus [24].…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population

et al. 2020

View full text Add to dashboard Cite

A fractional-order eco-epidemiological model with disease in the prey population is formulated and analyzed. Mathematical analysis and numerical simulations are performed to clarify the characteristics of the proposed fractional-order model. The existence, uniqueness, non-negativity and boundedness of the solutions are proved. The local and global asymptotic stability of all equilibrium points are investigated. Finally, numerical simulations are conducted to illustrate the analytical results. The occurrence of Hopf bifurcations and transcritical bifurcations for the fractional-order eco-epidemiological model are demonstrated. It is observed that the fractional order has a stabilization effect and it may help to control the coexistence between susceptible prey, infected prey and predator populations.

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population

et al. 2020

View full text Add to dashboard Cite

show abstract

“…Anderson and May [2] were the pioneers for investigating the invasion, persistence, and spread of infectious diseases by formulating an eco-epidemiological prey-predator model. At recent times, many researchers have proposed and studied epidemic and ecoepidemiological models [3,4,5,6,7,8,9,10,11,12,13,14,15]. For example, Shaikh et al [6] have investigated the dynamics of an ecoepidemiological system with disease in competitive prey species.…”

Section: Introductionmentioning

confidence: 99%

“…At recent times, many researchers have proposed and studied epidemic and ecoepidemiological models [3,4,5,6,7,8,9,10,11,12,13,14,15]. For example, Shaikh et al [6] have investigated the dynamics of an ecoepidemiological system with disease in competitive prey species. They have considered hyperbolic mortality of predators and Holling type II tem with infection in the prey population and studied the asymptotic behavior of constant solutions, whereas R.K. Upadhyaya and P. Roy [24] developed a reaction-diffusion eco-epidemiological model of preypredator interaction and found out the occurrence of temporal chaos at a fixed point in space.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis of a diffusive modified Leslie-Gower prey-predator model with prey infection and Beddington DeAngelis functional response

Melese

Feyissa

2021

Heliyon

View full text Add to dashboard Cite

In this paper, we present and analyze a spatio-temporal eco-epidemiological model of a prey predator system where prey population is infected with a disease. The prey population is divided into two categories, susceptible and infected. The susceptible prey is assumed to grow logistically in the absence of disease and predation. The predator population follows the modified Leslie-Gower dynamics and predates both the susceptible and infected prey population with Beddington-DeAngelis and Holling type II functional responses, respectively. The boundedness of solutions, existence and stability conditions of the biologically feasible equilibrium points of the system both in the absence and presence of diffusion are discussed. It is found that the disease can be eradicated if the rate of transmission of the disease is less than the death rate of the infected prey. The system undergoes a transcritical and pitchfork bifurcation at the Disease Free Equilibrium Point when the prey infection rate crosses a certain threshold value. Hopf bifurcation analysis is also carried out in the absence of diffusion, which shows the existence of periodic solution of the system around the Disease Free Equilibrium Point and the Endemic Equilibrium Point when the ratio of the rate of intrinsic growth rate of predator to prey crosses a certain threshold value. The system remains locally asymptotically stable in the presence of diffusion around the disease free equilibrium point once it is locally asymptotically stable in the absence of diffusion. The Analytical results show that the effect of diffusion can be managed by appropriately choosing conditions on the parameters of the local interaction of the system. Numerical simulations are carried out to validate our analytical findings.

show abstract

“…Selvam and Jacob [28] investigated the prey-predator paradigm in discrete time with type II functional response. Many researchers have focused on the type-II response function in latest years [29][30][31][32][33]. Bera et al [34] investigated the dynamical behavior of a tritrophic food chain model with a herd of prey.…”

Section: Introductionmentioning

confidence: 99%

An Eco-Epidemiological Model Incorporating Harvesting Factors

2021

View full text Add to dashboard Cite

The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator model in which the predator uses both susceptible and sick prey is used to investigate the influence of harvesting parameters on the formation of dynamical fluctuations and stability at the interior equilibrium point. In the analytical section, we outlined the current circumstances for all possible equilibria. The stability of the system has also been explored, and the required conditions for the model’s stability at the equilibrium point have been found. In addition, we give numerical verification for our analytical findings with the help of graphical illustrations.

show abstract

Dynamics of an eco-epidemiological system with disease in competitive prey species

Cited by 12 publications

References 51 publications

Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population

Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population

Stability and bifurcation analysis of a diffusive modified Leslie-Gower prey-predator model with prey infection and Beddington DeAngelis functional response

An Eco-Epidemiological Model Incorporating Harvesting Factors

Contact Info

Product

Resources

About