Stability of a delayed competitive model with saturation effect and interval biological parameters

This work presents a delayed two-species competitive model with interval biological parameters, in which each interspecific competition term suffers delay and saturation effect. Sufficient criteria for the existence, local and global asymptotic stability of the unique positive equilibrium are establ...

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 64; no. 1-2; pp. 1 - 15
Main Authors Chen, Siyu, Liu, Zhijun, Wang, Lianwen, Hu, Jing
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020
Springer Nature B.V
Subjects
Applied mathematics
Biological effects
Computational Mathematics and Numerical Analysis
Computer simulation
Mathematical and Computational Engineering
Mathematical models
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Parameters
Saturation
Stability
Theory of Computation
Stability
34D23
92D25
Competition model with saturation effect
Interval number
Delay
34K20
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Summary:This work presents a delayed two-species competitive model with interval biological parameters, in which each interspecific competition term suffers delay and saturation effect. Sufficient criteria for the existence, local and global asymptotic stability of the unique positive equilibrium are established, respectively. Our theoretical and simulated results show that under appropriate conditions the fuzziness of biological parameters plays a critical role in the stability properties of the system while time delays have little influence.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-020-01341-8