Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations

We suggested a new mathematical model for three prey-predator species, predator is considered to be divided into two compartments, infected and susceptible predators, as well as the prey and susceptible population based on Holling-type II with harvesting. We considered the model in Caputo fractional...

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Autores principales:	A. Al Themairi, Manar A. Alqudah
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/15e93192d1034d548805d29a31d78d63
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spelling	oai:doaj.org-article:15e93192d1034d548805d29a31d78d632021-11-29T00:57:01ZExistence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations1563-514710.1155/2021/2990958https://doaj.org/article/15e93192d1034d548805d29a31d78d632021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2990958https://doaj.org/toc/1563-5147We suggested a new mathematical model for three prey-predator species, predator is considered to be divided into two compartments, infected and susceptible predators, as well as the prey and susceptible population based on Holling-type II with harvesting. We considered the model in Caputo fractional order derivative to have significant consequences in real life since the population of prey create memory and learn from their experience of escaping and resisting any threat. The existence, uniqueness, and boundedness of the solution and the equilibrium points for the considered model are studied. Numerical simulations using Euler’s method are discussed to interpret the applicability of the considered model.A. Al ThemairiManar A. AlqudahHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 A. Al Themairi Manar A. Alqudah Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations
description	We suggested a new mathematical model for three prey-predator species, predator is considered to be divided into two compartments, infected and susceptible predators, as well as the prey and susceptible population based on Holling-type II with harvesting. We considered the model in Caputo fractional order derivative to have significant consequences in real life since the population of prey create memory and learn from their experience of escaping and resisting any threat. The existence, uniqueness, and boundedness of the solution and the equilibrium points for the considered model are studied. Numerical simulations using Euler’s method are discussed to interpret the applicability of the considered model.
format	article
author	A. Al Themairi Manar A. Alqudah
author_facet	A. Al Themairi Manar A. Alqudah
author_sort	A. Al Themairi
title	Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations
title_short	Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations
title_full	Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations
title_fullStr	Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations
title_full_unstemmed	Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations
title_sort	existence and uniqueness of caputo fractional predator-prey model of holling-type ii with numerical simulations
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/15e93192d1034d548805d29a31d78d63
work_keys_str_mv	AT aalthemairi existenceanduniquenessofcaputofractionalpredatorpreymodelofhollingtypeiiwithnumericalsimulations AT manaraalqudah existenceanduniquenessofcaputofractionalpredatorpreymodelofhollingtypeiiwithnumericalsimulations
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Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations

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