科研之友
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摘要
This paper is devoted to the mathematical analysis of a reaction-diffusion model of dengue transmission. In the case of a bounded spatial habitat, we obtain the local stability as well as the global stability of either disease-free or endemic steady state in terms of the basic reproduction number R-0. In the case of an unbounded spatial habitat, we establish the existence of the traveling wave solutions connecting the two constant steady states when R-0 > 1, and the nonexistence of the traveling wave solutions that connect the disease-free steady state itself when R-0 < 1. Numerical simulations are performed to illustrate the main analytic results.
- 出版日期2014-11
- 单位华南师范大学
