Stochastic asymptotic analysis of a multi-host model with vector transmission
Abstract
We present a stochastic epidemic model with vectorial transmission and multi-host structure. To include environmental noise, we stochastically perturb biting rates with general state functional intensities. So, we derive a stochastic differential equation (SDE) which describes a vector disease with two types of hosts - humans and animals - and give conditions to assure disease extinction and persistence. Finally, via numerical experiments, we extend and illustrate our results using literature parameters for Chagas.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- November 2018
- DOI:
- 10.1016/j.physa.2018.06.105
- Bibcode:
- 2018PhyA..510..243A
- Keywords:
-
- Multi-host;
- Vector transmission;
- Persistence;
- Extinction;
- Stochastic perturbation