IMIS | Flanders Marine Institute
 

Flanders Marine Institute

Platform for marine research

IMIS

Publications | Institutes | Persons | Datasets | Projects | Maps
[ report an error in this record ]basket (0): add | show Printer-friendly version

The evolutionary dynamics of a spatial multi-strain host-pathogen system with cross-immunity
Wang, R.H.; Jin, Z.; Liu, Q.X. (2012). The evolutionary dynamics of a spatial multi-strain host-pathogen system with cross-immunity. Nonlinear Anal.-Hybrid Syst. 6(1): 741-753. dx.doi.org/10.1016/j.nahs.2011.05.008
In: Nonlinear Analysis: Hybrid Systems. Elsevier: Amsterdam. ISSN 1751-570X, more
Peer reviewed article  

Available in Authors 

Author keywords
    Multi-strain; Spatial host-pathogen model; Cross-immunity; Improved pairapproximation; Mean-field model

Authors  Top 
  • Wang, R.H.
  • Jin, Z.
  • Liu, Q.X., more

Abstract
    We considered a Susceptible-Infective-Recovered-Susceptible (SIRS) model with strain mutation and cross-immunity in a non-spatial model and a lattice-structured model, where all individuals can reproduce if the space/resources allow. In the lattice-structured model, both the host reproduction and pathogen transmission processes are assumed to interact with next nearest neighbors, and the model was analyzed by an improved pair approximation (IPA). A family of correlated equations of pair approximation and mean-field were presented. We show the phase diagram of the coexistence and extinction which were obtained from parameterization by measuring the basic reproduction numbers of the strains during their infection processes. The qualitative results of the pair approximation model are similar to that of the corresponding non-spatial model. Furthermore, the spatial model predicts coexistence over a wider range of parameters than the non-spatial model. In particular, when the strain evolution tends to a larger basic reproduction number, the correlated spatial approximation could predict better than the mean-field approximation.

All data in IMIS is subject to the VLIZ privacy policy Top | Authors