Optimal control problem of a quarantine model in multi region with spatial dynamics

In this work, we propose a multifishing area prey-predator discrete-time model which describes the interaction between the prey and middle and top predators in various areas, which are connected by their movements to their neighbors, to provide realistic description prey effects of two predators. A grid of colored cells is presented to illustrate the entire domain; each cell may represent a subdomain or area. Next, we propose two harvesting control strategies that focus on maximizing the biomass of prey, in the targeted area, and minimizing the biomass of middle and top predators coming from the neighborhood of this targeted area to ensure sustainability and maintain a differential chain system. Theoretically, we have proved the existence of optimal controls, and we have given a characterization of controls in terms of states and adjoint functions based on a discrete version of Pontryagin’s maximum principle. To illustrate the theoretical results obtained, we propose numerical simulations for several scenarios applying the forward-backward sweep method (FBSM) to solve our optimality system in an iterative process.

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A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco

Bhih

Benfatah

Rhila

et al. 2020

Discrete Dynamics in Nature and Society

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Optimal control problem of a tuberculosis model with spatial dynamics

2020

cmbn

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Numerical simulation of malaria transmission model considering secondary infection

Handari¹,

Amalia

Rahmayani

et al. 2020

cmbn

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Optimal control problem of a quarantine model in multi region with spatial dynamics

Cited by 3 publications

References 11 publications

A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco

A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco

Optimal control problem of a tuberculosis model with spatial dynamics

Numerical simulation of malaria transmission model considering secondary infection

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