Complex Dynamics of a host–parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment

Yongli Cai, Yun Kang, Malay Banerjee, Weiming Wang

    Research output: Contribution to journalArticle

    27 Citations (Scopus)

    Abstract

    In this paper, we investigate the dynamical outcomes of a host–parasite model incorporating both horizontal and vertical transmissions in a spatial heterogeneous environment analytically and numerically. Our study provides valuable insights in two aspects: Mathematically, we propose three threshold parameters, the demographic reproduction number Rd, the horizontal transmission reproduction number R0 h and the vertical transmission reproduction number R0 v, to identify the conditions that lead to disease-free dynamics, or susceptible-free dynamics, or endemic dynamics. Epidemiologically, we find that both host population movements and spatial heterogeneity strongly affect the disease dynamics of our proposed epidemic model: (1) the larger random mobility can result in 100% infection prevalence; and (2) the heterogeneity tends to enhance the persistence of the infected hosts with uninfected ones. As a consequence, our work suggests that, in order to control the invasion of the parasite, different preventive measures can be implemented in different regions.

    Original languageEnglish (US)
    Pages (from-to)444-465
    Number of pages22
    JournalNonlinear Analysis: Real World Applications
    Volume40
    DOIs
    StatePublished - Apr 1 2018

    Fingerprint

    Vertical Transmission
    Heterogeneous Environment
    Complex Dynamics
    Reproduction number
    Horizontal
    Spatial Heterogeneity
    Threshold Parameter
    Invasion
    Epidemic Model
    Model
    Persistence
    Infection
    Tend
    Complex dynamics

    Keywords

    • Endemic
    • Heterogeneity
    • Parasite-free
    • Susceptible-free
    • Vertical transmission

    ASJC Scopus subject areas

    • Analysis
    • Engineering(all)
    • Economics, Econometrics and Finance(all)
    • Computational Mathematics
    • Applied Mathematics

    Cite this

    Complex Dynamics of a host–parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment. / Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming.

    In: Nonlinear Analysis: Real World Applications, Vol. 40, 01.04.2018, p. 444-465.

    Research output: Contribution to journalArticle

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