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

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  • Acuña-Zegarra, Manuel Adrian
  • Díaz-Infante, Saúl

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.

Suggested Citation

  • Acuña-Zegarra, Manuel Adrian & Díaz-Infante, Saúl, 2018. "Stochastic asymptotic analysis of a multi-host model with vector transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 243-260.
    • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:243-260
    DOI: 10.1016/j.physa.2018.06.105
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    References listed on IDEAS

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