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- Title
Almost Periodic Solution, Local Asymptotical Stability and Uniform Persistence for A Harvesting Model of Plankton Allelopathy with Time Delays.
- Authors
Yuelian Shi; Can Li
- Abstract
In this paper, we consider a class of delayed differential equation model of plankton allelopathy with harvesting terms. Firstly, the existence and uniqueness of positive almost periodic solution for the model are obtained by using the theory of exponential dichotomy and Banach fixed point theorem. Secondly, the local asymptotical stability of the model is studied. Finally, the uniform persistence of the above model is also considered. Examples with computer simulations are given to illustrate the feasibility and effectiveness of the main result.
- Subjects
ALLELOPATHY; EXPONENTIAL dichotomy; HARVESTING; PERSISTENCE; PLANKTON; DIFFERENTIAL equations; TIME delay systems
- Publication
IAENG International Journal of Applied Mathematics, 2019, Vol 49, Issue 3, p307
- ISSN
1992-9978
- Publication type
Article