Propagation Dynamics of a Discrete SIS Model With Time Periodicity

CHEN Yan

doi:10.21656/1000-0887.420350

Volume 43 Issue 10

Oct. 2022

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CHEN Yan. Propagation Dynamics of a Discrete SIS Model With Time Periodicity[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1155-1163. doi: 10.21656/1000-0887.420350

Citation:

CHEN Yan. Propagation Dynamics of a Discrete SIS Model With Time Periodicity[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1155-1163. doi: 10.21656/1000-0887.420350

Citation:

CHEN Yan. Propagation Dynamics of a Discrete SIS Model With Time Periodicity[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1155-1163. doi: 10.21656/1000-0887.420350

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Propagation Dynamics of a Discrete SIS Model With Time Periodicity

doi: 10.21656/1000-0887.420350

CHEN Yan

School of Mathematics and Statistics, Xidian University, Xi’an 710071, P.R.China

Received Date: 2021-11-19
Accepted Date: 2022-01-15
Rev Recd Date: 2022-01-15

Available Online: 2022-09-26

Publish Date: 2022-10-31

Abstract

Abstract

The propagation dynamics was studied for a class of spatially discrete multi-type SIS epidemic model with time periodicity. Firstly, the theory of spreading speeds and travelling waves for monotonic periodic semiflows was applied to prove the existence of asymptotic spreading speed c_*. Secondly, by means of the comparison principle, the asymptotic spreading speed was proved to coincide with the minimal wave speed of monotonic periodic traveling waves.
- time periodicity,
- spatially discrete,
- asymptotic spreading speed,
- periodic traveling wave solution

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References(19)

References

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