Basic reproduction number of SEIRS model on regular lattice

Mathematical Biosciences and Engineering

Kazunori Sato¹ 

[1] Department of Mathematical and Systems Engineering, Shizuoka University, Hamamatsu 432-8561, Japan;

关键词: basic reproduction number;    lattice model;    seirs;    next-generation matrix;    pair approximation;   

DOI  :  10.3934/mbe.2019335

来源: DOAJ

【 摘 要 】

In this paper we give a basic reproduction number $\mathscr{R}_0$ of an SEIRS model on regular lattice using next-generation matrix approach. Our result is straightforward but differs from the basic reproduction numbers for various fundamental epidemic models on the regular lattice which have been shown so far. Sometimes it is caused by the difference of derivation methods for $\mathscr{R}_0$ although their threshold of infectious rates for epidemic outbreak remain the same. Then we compare our $\mathscr{R}_0$ to the ones by these previous studies from several epidemic points of view.

【 授权许可】

Unknown