Modelling the use of impulsive vaccination to control Rift Valley Fever virus transmission

Advances in Difference Equations

Lin-Fei Nie¹  Chen-Xia Yang¹ 

[1] College of Mathematics and System Sciences, Xinjiang University, Urumqi, P.R. China

关键词: Rift Valley Fever;    impulsive vaccination;    extinction;    asymptotical stability;    uniform persistence;    34A37;    34D23;    92D30;   

DOI  :  10.1186/s13662-016-0835-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we propose a vector-bone dynamical model to against the transmission of Rift Valley Fever (RVF) between ruminants and mosquitoes, where impulsive vaccination for susceptible ruminants is introduced. By using the comparison principle, integral and differential inequalities, and some of analytical skills, the threshold values for the stability of the disease-free periodic solution and uniform persistence of disease are obtained. These values characterize the evolution and extinction of the disease. Numerical simulations are carried out to illustrate the main theoretical results and the feasibility of the impulsive vaccination control strategy.

【 授权许可】

CC BY