TY - JOUR
T1 - Stability analysis of a two-strain epidemic model on complex networks with latency
AU - Yang, Junyuan
AU - Chen, Yuming
AU - Liu, Jiming
N1 - Funding Information:
JY is supported by NSF grant (61573016, 61203228, 11071283), China Scholarship Council (201308140016), Shanxi Scholarship Council of China (2015-094), the Young Sciences Foundation of Shanxi (2011021001-1), Program for the Outstanding Innovative Teams of Higher Learning Institutions of Shanxi, “131” Talents of Shanxi University, and YC is supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada.
PY - 2016/10
Y1 - 2016/10
N2 - In this paper, a two-strain epidemic model on a complex network is proposed. The two strains are the drug-sensitive strain and the drug-resistant strain. The related basic reproduction numbers Rs and Rr are obtained. If R0 = max{Rs,Rr} < 1, then the disease-free equilibrium is globally asymptotically stable. If Rr > 1, then there is a unique drug-resistant strain dominated equilibrium Er, which is locally asymptotically stable if the invasion reproduction number Rs r < 1. If Rs > 1 and Rs > Rr, then there is a unique coexistence equilibrium E*. The persistence of the model is also proved. The theoretical results are supported with numerical simulations.
AB - In this paper, a two-strain epidemic model on a complex network is proposed. The two strains are the drug-sensitive strain and the drug-resistant strain. The related basic reproduction numbers Rs and Rr are obtained. If R0 = max{Rs,Rr} < 1, then the disease-free equilibrium is globally asymptotically stable. If Rr > 1, then there is a unique drug-resistant strain dominated equilibrium Er, which is locally asymptotically stable if the invasion reproduction number Rs r < 1. If Rs > 1 and Rs > Rr, then there is a unique coexistence equilibrium E*. The persistence of the model is also proved. The theoretical results are supported with numerical simulations.
KW - Complex network
KW - Drug-resistant strain
KW - Drug-sensitive strain
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=84988851280&partnerID=8YFLogxK
U2 - 10.3934/dcdsb.2016076
DO - 10.3934/dcdsb.2016076
M3 - Article
AN - SCOPUS:84988851280
SN - 1531-3492
VL - 21
SP - 2851
EP - 2866
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 8
ER -