1Department of Mathematics, National Institute of Technology Calicut, Kerala-673601, India
2Department of Mathematics, Bharathiar University, Coimbatore - 641 046, India
*E-mail: *guru.poy@gmail.com
In this paper, we investigate the global existence and blow-up properties of the solutions of highly nonlinear coupled SIR epidemic disease model with cross-diffusion terms and no flux type boundary conditions. Under the suitable assumptions on the nonlinear source functions we prove the global existence and blow-up of the solutions. Further, we prove that the blow-up property of the solutions only depends on the first eigenvalue of -Δ in a bounded domain Ω. Finally, we present the numerical simulations to illustrate the theoretical results.
AMS Subject Classification: 35B44, 74G25, 35K55, 35K57
SIR model, Cross-diffusion, Global existence, Blow-up, FreeFem++
