Application of Mawhin′s Coincidence Degree and Matrix Spectral Theory to a Delayed System
Copyright policy )Application of Mawhin′s Coincidence Degree and Matrix Spectral Theory to a Delayed System
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. The method is different from that used in the previous work. Some new sufficient conditions are obtained for the existence and global asymptotic stability of the periodic solution. The existence and stability conditions are given in terms of spectral radius of explicit matrices which are much different from the conditions given by the algebraic inequalities. Finally, an example is given to show the feasibility of our results.
- Zhejiang Normal University China (People's Republic of)
- Nanyang Technological University
- Centro de Física Teórica y Matemáticas Spain
- Zhanjiang Normal University China (People's Republic of)
- Indian Institute of Technology Mandi India
model plenilec-plen, spectral theory, Stability of solutions to ordinary differential equations, spektralna teorija, coincidence degree, Jean Mawhin, Population dynamics (general), Qualitative investigation and simulation of ordinary differential equation models, QA1-939, predator-prey model, Periodic solutions to ordinary differential equations, stopnja naključja, Mathematics
model plenilec-plen, spectral theory, Stability of solutions to ordinary differential equations, spektralna teorija, coincidence degree, Jean Mawhin, Population dynamics (general), Qualitative investigation and simulation of ordinary differential equation models, QA1-939, predator-prey model, Periodic solutions to ordinary differential equations, stopnja naključja, Mathematics
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