Affiliation:
1. College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590 China
2. Institute for Mathematical Sciences Renmin University of China Beijing 100872 China
Abstract
We consider the transmission of visceral leishmaniasis in three populations: humans, dogs and sandflies. To investigate the effects of spatial heterogeneity and temporal periodicity on disease transmission, a nonlocal periodic reaction‐diffusion equation model is developed. We introduce the basic reproduction number
and establish the global dynamics. Numerical simulations show that (i)
is overestimated in the absence of spatial heterogeneity; (ii)
is underestimated without considering the effect of temporal seasonality; and (iii) shortening periodic delays of visceral leishmaniasis reduces the risk of disease transmission.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics
Cited by
1 articles.
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