%0 Journal Article
%A Johnson, Unyime V.
%A Adesina, Olumide S
%A Agboola, O.O.
%A Adedotun, Adedayo F.
%D 2023
%F eprints:17550
%J Mathematical Modelling of Engineering Problems
%K non-linear differential equation, Lotka-Volterra,  system stability, species, dynamical system
%N 4
%P 1199-1206
%T A Lotka-Volterra Non-linear Differential Equation Model for Evaluating Tick Parasitism in  Canine Population
%U http://eprints.covenantuniversity.edu.ng/17550/
%V 10
%X 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.