Analytical Solutions of a Modified Predator-Prey Model through a New Ecological Interaction.


Journal

Computational and mathematical methods in medicine
ISSN: 1748-6718
Titre abrégé: Comput Math Methods Med
Pays: United States
ID NLM: 101277751

Informations de publication

Date de publication:
2019
Historique:
received: 22 05 2019
revised: 20 08 2019
accepted: 17 09 2019
entrez: 19 11 2019
pubmed: 19 11 2019
medline: 22 5 2020
Statut: epublish

Résumé

The predator-prey model is a common tool that researchers develop continuously to predict the dynamics of the animal population within a certain phenomenon. Due to the sexual interaction of the predator in the mating period, the males and females feed together on one or more preys. This scenario describes the ecological interaction between two predators and one prey. In this study, the nonlinear diffusive predator-prey model is presented where this type of interaction is accounted for. The influence of this interaction on the population of predators and preys is predicted through analytical solutions of the dynamical system. The solutions are obtained by using two reliable and simple methods and are presented in terms of hyperbolic functions. In addition, the biological relevance of the solutions is discussed.

Identifiants

pubmed: 31737084
doi: 10.1155/2019/4849393
pmc: PMC6817926
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

4849393

Informations de copyright

Copyright © 2019 Noufe H. Aljahdaly and Manar A. Alqudah.

Déclaration de conflit d'intérêts

The authors declare that there are no conflicts of interest regarding the publication of this paper.

Auteurs

Noufe H Aljahdaly (NH)

Department of Mathematics, Faculty of Sciences and Arts-Rabigh Campus, King Abdulaziz University, Jeddah, Saudi Arabia.

Manar A Alqudah (MA)

Mathematical Science Department, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia.

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Classifications MeSH