On an eco-epidemiological model with prey harvesting and predator switching: Local and global perspectives

Bhattacharyya, R.; Mukhopadhyay, Banibrata

doi:10.1016/j.nonrwa.2010.02.012

Cited by 47 publications

(33 citation statements)

References 40 publications

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“…Haque and Venturino [5,6] discussed the models of diseases spreading in symbolic communities. Mukhopadhyay [7] studied the role of harvesting and switching on the dynamics of disease propagation and/or eradication. The role of prey infection on the stability aspects of a prey-predator models with different functional responses was studied by Bairagi et al [8].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Das

Srinivas

Madhusudanan³

et al. 2019

MCA

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In this paper, stochastic analysis of a diseased prey–predator system involving adaptive back-stepping control is studied. The system was investigated for its dynamical behaviours, such as boundedness and local stability analysis. The global stability of the system was derived using the Lyapunov function. The uniform persistence condition for the system is obtained. The proposed system was studied with adaptive back-stepping control, and it is proved that the system stabilizes to its steady state in nonlinear feedback control. The value of the system is described mostly by the environmental stochasticity in the form of Gaussian white noise. We also established some conditions for oscillations of all positive solutions of the delayed system. Numerical simulations are illustrated, and sustained our analytical findings. We concluded that controlled harvesting on the susceptible and infected prey is able to control prey infection.

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Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Das

Srinivas

Madhusudanan³

et al. 2019

MCA

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“…Fazly and Hesaaraki 9 dealt with periodic solutions of a predator-prey system with monotone functional responses. One can see [10][11][12][13][14][15][16][17][18][19] and so forth for more related studies. However, the research work on asymptotically periodic predator-prey model is very few at present.…”

Section: Introductionmentioning

confidence: 99%

Uniformly Strong Persistence for a Delayed Predator‐Prey Model

Shao

2012

Journal of Applied Mathematics

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“…It is well known that the harvesting of the species is necessary for the coexistence of the species and hence it took a lot of interest from the researchers in their proposed ecological models. Different types of harvesting have been proposed and studied including constant harvesting, density dependent proportional harvesting, and nonlinear harvesting [8,[24][25][26]. The refuge of prey species is also a biological factor necessary for the coexistence of the species and hence it is another factor of great interest as defensive properties of the prey against the predation; see [8,27,28].…”

Section: Introductionmentioning

confidence: 99%

A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator

Abdulghafour¹,

Naji

2018

Journal of Applied Mathematics

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In this paper, a mathematical model of a prey-predator system with infectious disease in the prey population is proposed and studied. It is assumed that there is a constant refuge in prey as a defensive property against predation and harvesting from the predator. The proposed mathematical model is consisting of three first-order nonlinear ordinary differential equations, which describe the interaction among the healthy prey, infected prey, and predator. The existence, uniqueness, and boundedness of the system’ solution are investigated. The system's equilibrium points are calculated with studying their local and global stability. The persistence conditions of the proposed system are established. Finally the obtained analytical results are justified by a numerical simulation.

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On an eco-epidemiological model with prey harvesting and predator switching: Local and global perspectives

Cited by 47 publications

References 40 publications

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Mathematical Analysis of a Prey–Predator System: An Adaptive Back-Stepping Control and Stochastic Approach

Uniformly Strong Persistence for a Delayed Predator‐Prey Model

A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator

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