Yicang Zhou | Searcharxiv

arXiv2019

The human monogamy behavior can influence the transmission of AIDS

In this letter, we mainly consider an MSM (men have sex with men) network to analysis how monogamy behavior can influence the transmission of HIV. By calculating and analyzing the basic reproductive number of that network, we find the condition for when the monogamy rate can have a positive influence on controlling the transmission of HIV. Numerical simulations are also done to illustrate that monogamy can influence the transmission process of HIV.

q-bio.PE↗

arXiv2014

Periodic solutions in a seasonally forced epidemic model

We study an SIR epidemic model with a seasonal contact rate and saturated treatment function. It is shown that the basic reproduction number $(\mathcal {R}_0)$ cannot be acted as a threshold that predicts the spread of an infection. Based on this finding, we establish a set of sufficient conditions for the existence of multiple positive periodic solutions by using Gaines-Mawhin's continuation theorem. This is very similar to backward bifurcation for an autonomous model. Further, we investigate the stability of positive periodic solution under small seasonal perturbation by means of Floquet theory. Numerical simulations support our theoretical analysis.

math.CA↗