Work

A Lotka-Volterra Non-linear Differential Equation Model for Evaluating Tick Parasitism in Canine Populations

Year: 2023

Type: article

Abstract: This research employs a modified version of the Lotka-Volterra non-linear first-order ordinary differential equations to model and analyze the parasitic impact of ticks on dogs.The analysis reveals that fluctuations in pesticide effects significantly influence tick populations and the size of the canine host.The study also uncovers that alterations in the size of the interacting species can lead to both stable and unstable states.Interestingly, in a pesticide-free environment, a decline in the inter-competition coefficient catalyzes an increase in the sizes of both interacting species.This increase, although marginal for the tick population, contributes to overall system stability.The findings underscore the utility of the Lotka-Volterra non-linear first-order ordinary differential equations in modeling the parasitic effect of ticks on dogs.To protect pets, particularly dogs, from the harmful effects of tick infestation, this study recommends the appropriate and regular application of disinfectants.

Source: Mathematical Modelling and Engineering Problems

DOI: 10.18280/mmep.100412

Authors: Unyime V. Johnson, Olumide S. Adesina, Olasunmbo O. Agboola, Adedayo F. Adedotun

Institutions: Redeemer's University, Covenant University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Covenant University, Covenant University Centre for Research, Innovation and Discovery

OpenAlex ID: W4386304331

FWCI:

Cites: 50

Cited by:

Related to: 10