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: Research - peer-reviewArticle

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.

LanguageEnglish (US)
Pages444-465
Number of pages22
JournalNonlinear Analysis: Real World Applications
Volume40
DOIs
StatePublished - Apr 1 2018
Externally publishedYes

Fingerprint

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

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: Research - peer-reviewArticle

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