Nonlinear Dynamics of a Prey–Predator Model Using Precise and Imprecise Harvesting Phenomena with Biological Parameters

Vijaya, S.; Rekha, E.; Singh, Jagdev

doi:10.1142/s1793048017500035

Cited by 4 publications

(1 citation statement)

References 14 publications

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“…Eco-epidemiology is a branch in mathematical biology which considers both the ecological and epidemiological issues simultaneously (11). Mathematical biologists have worked on merging the ecology and Epidemiology (6).…”

Section: Introductionmentioning

confidence: 99%

Optimal Control Measures of COVID-19 in Infected Prey with Harvesting Effort

Saranya¹,

Vijaya²

2022

ECS Trans.

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This paper presents a mathematical model for a prey-predator system in which there are two prey species and one predator species where prey population is taken as competitive of the infected-susceptible species. We analyze and propose the positive, boundedness, and positive equilibrium point of trivial, disease-free, and interior equilibrium point with stability analysis criteria for local stability and applied harvesting effort to control the spread of disease. We analyze numerical simulations showing different scenarios from the maple 15 and 20 programming.

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Section: Introductionmentioning

confidence: 99%

Optimal Control Measures of COVID-19 in Infected Prey with Harvesting Effort

Saranya¹,

Vijaya²

2022

ECS Trans.

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Modeling and Analysis of an Imprecise Epidemic System with Optimal Treatment and Vaccination Control

Das

Pal

2018

Biophys. Rev. Lett.

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In this paper, we propose and analyze a Susceptible-Vaccinated-Exposed-Infected-Recovered (SVEIR) type infectious disease model with imprecise parameters. Introducing the interval numbers in functional form, the SVEIR model is proposed and formulated. The existence of possible equilibrium points with their feasibility criteria and an explicit value of basic reproduction number is obtained. The asymptotic stability of the system at different equilibrium points are also discussed. Next by considering treatment and vaccination as two control parameters, an optimal control problem is formulated and solved. Finally, some computer simulation works are given in support of our analytical results.

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An Imprecise Eco-Epidemic Model with Pesticide in Relevance to Agricultural Pest Control

Das

Pal

2018

Biophys. Rev. Lett.

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In this paper, we have proposed and analyzed an agricultural pest control system. For this purpose, an eco-epidemiological type predator–prey model has been proposed with the consideration of a sound predator population and two classes of pest populations namely susceptible pest and infected pest. Further to consider uncertainty, we modify our model and transform it into a fuzzy system with incorporation of imprecise parameters. The dynamical behavior of the proposed model has been investigated by examining the existence and stability criteria of all feasible equilibria. An optimal control problem is formed by considering the pesticide control as the control parameter and then the problem is solved both theoretically and numerically with the help of some computer simulation works.

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Nonlinear Dynamics of a Prey–Predator Model Using Precise and Imprecise Harvesting Phenomena with Biological Parameters

Cited by 4 publications

References 14 publications

Optimal Control Measures of COVID-19 in Infected Prey with Harvesting Effort

Optimal Control Measures of COVID-19 in Infected Prey with Harvesting Effort

Modeling and Analysis of an Imprecise Epidemic System with Optimal Treatment and Vaccination Control

An Imprecise Eco-Epidemic Model with Pesticide in Relevance to Agricultural Pest Control

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