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Issue 3
May  2021
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LIANG Shuangshuang, NIE Linfei, HU Lin. Analysis of vector-borne infectious disease model with age-structured and horizontal transmission[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 47-55. doi: 10.3969/j.issn.1000-5641.2021.03.006
Citation: LIANG Shuangshuang, NIE Linfei, HU Lin. Analysis of vector-borne infectious disease model with age-structured and horizontal transmission[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 47-55. doi: 10.3969/j.issn.1000-5641.2021.03.006

Analysis of vector-borne infectious disease model with age-structured and horizontal transmission

doi: 10.3969/j.issn.1000-5641.2021.03.006
  • Received Date: 2020-01-19
  • Publish Date: 2021-05-01
  • Considering the prevalence of variations in virus strains and the age of infection, a vector-borne infectious disease model with latent age and horizontal transmission is proposed. An exact expression for the basic reproduction number, ${\cal R} _0 $, is given, which characterizes the existence of the disease-free equilibrium and the endemic equilibrium for this model. Next, by using a combination of linear approximation methods, constructing suitable Lyapunov functions, LaSalle invariance principles, and other methods, we prove that if ${\cal R}_0 <1 $, then the disease-free equilibrium has global asymptotic stability, and the disease will eventually become extinct; if ${\cal R}_0>1$, then the endemic equilibrium is globally asymptotically stable, and the disease will continue to form an endemic disease.
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