کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
842851 | 1470531 | 2009 | 9 صفحه PDF | دانلود رایگان |

In this work, we investigate the SIS epidemic reaction–diffusion model under heterogeneous environment studied by Allen et al. in [L.J.S. Allen, B.M. Bolker, Y. Lou, A.L. Nevai, Asymptotic profiles of the steady states for an SIS epidemic reaction–diffusion model, Discrete Contin. Dyn. Syst. A 21 (1) (2008) 1–20]. In the two cases: (1) the diffusion rate dSdS of the susceptible individuals is equal to the diffusion rate dIdI of the infected individuals; (2) β(x)=rγ(x)β(x)=rγ(x) for any fixed constant r∈(0,∞)r∈(0,∞), where β(x)β(x) and γ(x)γ(x) respectively represent the rates of disease transmission and disease recovery, we completely determine the global stability of the disease-free equilibrium and the unique endemic equilibrium (if it exists). Our results partially answer the conjecture proposed by Allen, et al.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issues 1–2, 1–15 July 2009, Pages 239–247