Stochastic asymptotic analysis of a multi-host model with vector transmision

Saúl Diaz Infante Velasco, Manuel Adrian Acuña-Zegarra

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageAmerican English
Pages (from-to)243-260
Number of pages17
JournalPhysica A: Statistical Mechanics and its Applications
StatePublished - 15 Nov 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier B.V.


  • Extinction
  • Multi-host
  • Persistence
  • Stochastic perturbation
  • Vector transmission


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