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- Title
Permanence and Uniform Asymptotical Stability in Consumer-Resource System with Mutual Interference on Time Scales.
- Authors
Yongyan Yang; Tianwei Zhang
- Abstract
This paper is concerned with a consumer-resource system described by a mutual interference model with feedback controls on time scale. By using time scale calculus theory and differential inequality, some verifiable conditions are obtained for the permanence of the above system. Further, by some important inequalities, the uniform asymptotical stability of the model have been studied. An example and numerical remarks are provided to illustrate the main results of this paper. Finally, a conclusion is also given to discuss how the feedback control and mutual interference of the system influence the permanence.
- Subjects
DIFFERENTIAL calculus; DIFFERENTIAL inequalities; TIME management
- Publication
IAENG International Journal of Applied Mathematics, 2019, Vol 49, Issue 3, p334
- ISSN
1992-9978
- Publication type
Article