Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222183 | Nonlinear Analysis: Real World Applications | 2018 | 22 Pages |
Abstract
In this paper, we investigate the dynamical outcomes of a host-parasite model incorporating both horizontal and vertical transmissions in a spatial heterogeneous environment analytically and numerically. Our study provides valuable insights in two aspects: Mathematically, we propose three threshold parameters, the demographic reproduction number Rd, the horizontal transmission reproduction number R0h and the vertical transmission reproduction number R0v, to identify the conditions that lead to disease-free dynamics, or susceptible-free dynamics, or endemic dynamics. Epidemiologically, we find that both host population movements and spatial heterogeneity strongly affect the disease dynamics of our proposed epidemic model: (1) the larger random mobility can result in 100% infection prevalence; and (2) the heterogeneity tends to enhance the persistence of the infected hosts with uninfected ones. As a consequence, our work suggests that, in order to control the invasion of the parasite, different preventive measures can be implemented in different regions.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Yongli Cai, Yun Kang, Malay Banerjee, Weiming Wang,