Application of Mawhin's coincidence degree and matrix spectral theory to a delayed system
Summary: This paper gives an application of Mawhin's coincidence degree and matrix spectral theory to a predator-prey model with \(M\) predators and \(N\) preys. Some sufficient conditions are obtained for the existence and global asymptotic stability of a periodic solution. The existence and stability conditions are given in terms of spectral radius of explicit matrices. Finally, an example is given to show the feasibility of our results.
scientific article; zbMATH DE number 6116476