Analysis of a stochastic SIRS epidemic model with specific functional response

Jihad Adnani, Khalid Hattaf, Noura Yousfi
2016 Applied Mathematical Sciences  
A new stochastic SIRS epidemic model with specific functional response is proposed and analyzed. First, we show that the model is biologically well-posed by proving the global existence, positivity and boundedness of solutions. Moreover, sufficient conditions for the extinction and persistence of the disease are also obtained. In the end, some numerical simulations are presented to illustrate our analytical results.
doi:10.12988/ams.2016.511697 fatcat:ostyhcdlpvewfhul2jcpckansa