摘要
研究一类猫种群同时具有免疫和治疗的弓形虫病数学模型,得到了弓形虫病流行的阈值条件R0.若R0<1,通过构造Lyapunov函数得到无病平衡点是全局渐进稳定的.当R0>1时,利用一致持续生存定理得到了弓形虫病是一致持续生存的.同时利用数值模拟说明结论的正确性,并对该传染病提出了一些可供参考的防治策略.
A mathematical model for the transmission of a toxoplasmosis disease in human and eat populations with vaccination and treatment is proposed and analyzed. Qualitative dynamic of the model is determined by the basic reproduction number, R0. If the threshold parameter R0 〈1, the solution converges to the disease free equilibrium point. On the other hand, if R0 〉1, toxoplasmosis disease is uniform persistence. At last, an example is given to explain our conclusions. At the same time, some control strategies to reduce toxoplasmosis prevalence are also given.
出处
《兰州交通大学学报》
CAS
2011年第3期145-149,共5页
Journal of Lanzhou Jiaotong University
基金
国家自然科学基金(10961018)
教育部科学技术研究重点项目(209131)
关键词
免疫
传染病模型
一致持续生存
全局渐进稳定性
vaccination
epidemic model
uniform persistence
global asymptotic stability
