A predictive spatio-temporal model for bovine Babesiosis epidemic transmission. (7th November 2019)

• Record Type: Journal Article
• Authors: Abdelheq, Mezouaghi; Belhamiti, Omar; Bouzid, Leila; Trejos, Deccy Y.; Valverde, Jose C.
• Is Part Of: Journal of theoretical biology. Volume 480(2019)
• Page Start: 192
• Page End: 204
• Publication Date: 2019-11-07
• Subjects: Babesiosis disease -- Bovine mobility -- Reaction-diffusion equations -- Spatio-temporal model; Biology -- Periodicals; Biological Science Disciplines -- Periodicals; Biology -- Periodicals; Biologie -- Périodiques; Theoretische biologie; Biology; Periodicals; 571.05
• DOI: 10.1016/j.jtbi.2019.07.015
• Languages: English
• ISSNs: 0022-5193

Abstract

Highlights: Babesiosis spread is studied by means of a spatio-temporal system consisting of reaction-diffusion equations. The effects of the mobility of infectious agents, either ticks or bovines, are determined. The results concerning the model and the health ramifications are raised, discussed and validated. The results support and extend other ones on the Babesiosis disease. Abstract: 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. Furthermore, mechanisms for the nearest neighbors' infection are integrated into the model. We determine mathematically the basic reproduction number R 0 via the next-generation matrix. Then, we analyze the stability of the equilibria and the effects of the mobility of infectious agents, being they either ticks or bovines. Finally, model-based analytical-numerical results are obtained and displayed in graphical profiles. The results of the proposed model and the health ramifications are then raised, discussed and validated.