论文标题
在带有功率样非线性发病率的跨排水SIS流行模型上
On a cross-diffusive SIS epidemic model with power-like nonlinear incidence
论文作者
论文摘要
在这项工作中，我们研究了Neumann初始界价值问题的非负经典解决方案的全球存在，跨扩散SI（易感感染感染感染）的流行模型，其具有功率样感染机制，其概括了标准质量行动机制。在某些参数范围内建立了经典解决方案的全球存在和界限，并且还检测到了全球有限解决方案的阈值/非阈值长期行为。我们的发现显着改善并扩展了以前的相关研究。
In this work, we study global existence, boundedness and convergence of nonnegative classical solutions of a Neumann initial-boundary value problem for a cross diffusive SIS (susceptible-infected-susceptible) epidemic model with power-like infection mechanism generalizing the standard mass action mechanism. Global existence and boundedness of classical solutions are established in certain parameter ranges, and threshold/non-threshold long-time behaviors of global bounded solutions are also detected. Our findings significantly improve and extend previous related studies.
