A nonlocal SIS epidemic problem with double free boundaries

Huang, Haomin1,2; Wang, Mingxin1

2019-08

10.1007/s00033-019-1156-5

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK   影响因子和分区

0044-2275

1420-9039

In this paper, we investigate a nonlocal SIS epidemic model with double free boundaries. The existence, uniqueness and some estimates of the global solution are discussed first. Then, with the help of studying the long-time behavior of the solution to a Cauchy problem for a nonhomogeneous heat equation, the long-time behavior of the solution to the SIS free boundary problem is obtained for the disease vanishing case. At last, some sufficient conditions for the disease vanishing are established.

Nonlocal SIS model Free boundaries Existence and uniqueness Long-time behavior

SCI ; EI

英语

其他

NSFC[11771110]

Mathematics

Mathematics, Applied

WOS:000474275100001

SPRINGER INTERNATIONAL PUBLISHING AG

20192707124930

Calculus:921.2

MATHEMATICS

Web of Science

1.Harbin Inst Technol, Sch Math, Harbin 150001, Heilongjiang, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518000, Peoples R China

Huang, Haomin,Wang, Mingxin. A nonlocal SIS epidemic problem with double free boundaries[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2019,70(4).

Huang, Haomin,&Wang, Mingxin.(2019).A nonlocal SIS epidemic problem with double free boundaries.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,70(4).

Huang, Haomin,et al."A nonlocal SIS epidemic problem with double free boundaries".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 70.4(2019).