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Study On The Impact Of Condom Use On Complex Networks On Sexually Transmitted Diseases

Posted on:2021-04-03Degree:MasterType:Thesis
Country:ChinaCandidate:H M HuFull Text:PDF
GTID:2370330602465511Subject:Mathematics
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Sexually transmitted diseases refer to the general term of diseases transmitted through sexual contact,which refers to a group of diseases transmitted through sexual contact.According to statistics,more than 90%of sexually transmitted diseases are directly transmitte d through sexual intercourse.In order to effectively prevent and reduce the spread of sexually transmitted diseases,we studied the effects of condom use in sexual contact on sexually transmitted diseases.In order to understand and predict the spread of disease through mutual contact between individuals and to increase the authenticity and feasibility of research,we investigate the spread of disease on heterogeneous networks.There have been many macro-and micro-studies of sexually transmitted Diseases?STDs?,and in previous studies the prevalence of condoms has divided the infected into low-risk?condom use?and high-risk?not condom use?.Through condom use,we divided the susceptible into low-risk?using condoms?and high-risk?not using condoms?.The results can be a visual indication of the impact of the use of condoms and non-use of condoms on non-infected people,so that people before infection to increase vigilance and reduce the risk of infection.In chapter two and chapter three,we construct the infectious disease model of birthless death and birthless death respectively.Using the Lyapunov function,we prove the global dynamic properties of the basic regeneration number-determining system.0R?27?1,the disease was extinct;0R?29?1,the disease persisted and the positive equilibrium point was globally asymptotically stable.Finally,the numerical simulation shows that taking measures will reduce the spread of STDs.
Keywords/Search Tags:complex network, sexually transmitted disease, Low-risk susceptible, High-risk susceptible, Stability of the equilibrium point, Liapunov function
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