Abstract
In this paper, taking into account the long range dispersal, environmental carrying capacity and propagation of viruses in the air, we propose a new SIR epidemic model with nonlocal diffusion, nonlocal infection and free boundaries. We first prove that such a nonlocal problem with free boundaries has a unique global solution. Then find the basic reproduction number R0(θ/b,(−h0,h0)) and show that when R0(θ/b,(−h0,h0))≥1 the disease will spread; when R0(θ/b,(−h0,h0))<1, the disease will spread or not depending on the expanding ability μ of I. Moreover, we give the conditions that determine R0(θ/b,(−h0,h0))=(>,<)1, and give the criteria for spreading and vanishing.
Sign-in/Register to access full text options 
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.
