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

Noufe H Aljahdaly; Manar A Alqudah

doi:10.1155/2019/4849393

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

Comput Math Methods Med. 2019 Oct 16:2019:4849393. doi: 10.1155/2019/4849393. eCollection 2019.

Authors

Noufe H Aljahdaly¹, Manar A Alqudah²

Affiliations

¹ Department of Mathematics, Faculty of Sciences and Arts-Rabigh Campus, King Abdulaziz University, Jeddah, Saudi Arabia.
² Mathematical Science Department, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia.

Abstract

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.

MeSH terms

Animals
Cell Communication
Computer Simulation
Ecology / methods*
Ecosystem*
Female
Male
Models, Biological
Nonlinear Dynamics
Population Dynamics
Predatory Behavior*
Time Factors