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.
Original language | American English |
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Pages (from-to) | 243-260 |
Number of pages | 17 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 510 |
DOIs | |
State | Published - 15 Nov 2018 |
Bibliographical note
Publisher Copyright:© 2018 Elsevier B.V.
Keywords
- Extinction
- Multi-host
- Persistence
- Stochastic perturbation
- Vector transmission