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Basic reproduction number of SEIRS model on regular lattice

Kazunori Sato

*Corresponding author: Kazunori Sato sato.kazunori@shizuoka.ac.jp

MBE2019,6,6708doi:10.3934/mbe.2019335

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.

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