A predictive spatio-temporal model for bovine Babesiosis epidemic transmission.

The main purpose of this paper is to analyze a new dynamical model pertaining to bovine Babesiosis transmission, and investigate its consequent morphology. We present and study various ramifications of our mathematical model for bovine Babesiosis spread, given, firstly, by a temporal system of ordinary differential equations and, finally, by a spatio-temporal system consisting of reaction-diffusion equations. Diffusion terms are incorporated into the model, using specific derivations for both infected ticks and infected bovines.