Modeling the intrinsic dynamics of foot-and-mouth disease.
We propose a new mathematical modeling framework to investigate the transmission and spread of foot-and-mouth disease. Our models incorporate relevant biological and ecological factors, vaccination effects, and seasonal impacts during the complex interaction among susceptible, vaccinated, exposed, infected, carrier, and recovered animals. We conduct both epidemic and endemic analysis, with a focus on the threshold dynamics characterized by the basic reproduction numbers. In addition, numerical simulation results are presented to demonstrate the analytical findings.
Department of Mathematics, University of Zimbabwe, P.O. Box MP 167, Harare, Zimbabwe. email: steadymushaya@gmail.com.
Steady
S
Mushayabasa
Drew
D
Posny
Jin
J
Wang
D000818:Animals; D050936:Basic Reproduction Number; D058872:Epidemics / Q000517:prevention & control / Q000706:statistics & numerical data*; D005536:Foot-and-Mouth Disease / Q000453:epidemiology* / Q000517:prevention & control; D008962:Models, Theoretical; D012621:Seasons; D014611:Vaccination