English

Competent hosts and endemicity of multi-host diseases

Populations and Evolution 2018-11-28 v2

Abstract

In this paper we propose a method to study a general vector-hosts mathematical model in order to explain how the changes in biodiversity could influence the dynamics of vector-borne diseases. We find that under the assumption of frequency-dependent transmission, i.e. the assumption that the number of contacts are diluted by the total population of hosts, the presence of a competent host is a necessary condition for the existence of an endemic state. In addition, we obtain that in the case of an endemic disease with a unique competent and resilient host, an increase in its density amplifies the disease.

Keywords

Cite

@article{arxiv.1705.09426,
  title  = {Competent hosts and endemicity of multi-host diseases},
  author = {Camilo Sanabria Malagon and Esteban Vargas Bernal},
  journal= {arXiv preprint arXiv:1705.09426},
  year   = {2018}
}