Abstract
In view of environmental transmission and spatial heterogeneity, a degenerated reaction–diffusion Zika transmission model is established and analyzed with more realistic factors. Besides the mosquito reproduction number Rm, a novel computation formula of the basic reproduction number of disease R0 in terms of the principal eigenvalue of an elliptic eigenvalue problem is provided. Dynamic analysis results show that the proposed system follows a threshold dynamics based on Rm or R0. Especially, for the critical case of R0=1, global attractiveness of the disease-free steady state is obtained by constructing a new Lyapunov function, which is usually one of challenges for some spatially heterogeneous models.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
