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Abstract:
In this paper, we study the spreading of infections on complex heterogeneous networks based on an SEIRS epidemic model with nonlinear infectivity. By mathematical analysis, the basic reproduction number R-0 is obtained. When R-0 is less than one, the disease-free equilibrium is globally asymptotically stable and the disease dies out, while R-0 is greater than one, the disease-free equilibrium becomes unstable and the disease is permanent, and in the meantime there exists a unique endemic equilibrium which is globally attractive under certain conditions. Finally, the effects of various immunization schemes are studied. To verify our theoretical results, the corresponding numerical simulations are also included.
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INTERNATIONAL JOURNAL OF BIOMATHEMATICS
ISSN: 1793-5245
Year: 2016
Issue: 1
Volume: 9
1 . 0 5
JCR@2016
2 . 4 0 0
JCR@2023
ESI Discipline: BIOLOGY & BIOCHEMISTRY;
ESI HC Threshold:253
JCR Journal Grade:3
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 5
SCOPUS Cited Count: 8
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 0
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