Work

Fixed point of discrete dynamical system of Lotka Volterra model

Year: 2024

Type: article

Abstract: Fixed point theorem is one of the theories in mathematics that has make many proofs been in existence. Lotka-Volterra model is a widely used pair of first-order nonlinear differential equations used to interpret the dynamics of two species that is a predator and a prey. The paper employs the contraction mapping and the Banach Fixed point theory on the Discrete Dynamical type of the Lotka-Volterra to see the outcome of its behavior.The Banach Fixed Theoryis used in determining the fixed point of discrete dynamical system of Lotka Volterra model.The results shows that the solutions of Lotka Volterra Model are the fixed points the of Model. Also, the outcome of contraction mapping and Banach fixed point theory shows that the fixed points serving as the limiting behavior of Lotka Volterra is continuous and convergent.

Source: Scientia Africana

DOI: 10.4314/sa.v23i3.45

Authors: M. Osei Fokuo, W. Obeng – Denteh, I.K Dontwi, P.A.A. Mensah

Institutions: Kwame Nkrumah University of Science and Technology, St. Ambrose College of Education

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

OpenAlex ID: W4406249018

FWCI:

Cites: 7

Cited by:

Related to: 10