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Stability Analysis on Daphnia Population Model with Size-Structured and Delayed Birth Process
  • Dandan Hu,
  • Gang Huang
Dandan Hu
China University of Geosciences

Corresponding Author:[email protected]

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Gang Huang
China University of Geosciences
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Abstract

In this paper, we investigate a size-structured population dynamics model of Daphnia coupled with an unstructured algal food source, where there is a maturation delay in the birth process. Our research focuses on the stability properties of stationary solutions, especially the impact of maturation delay on the asymptotic behavior of system. The existence of the stationary solutions are discussed, and the linear stability results under some biologically conditions are investigated by means of the semigroup theory and the characteristic equation technique. Numerical simulations are performed to verify the theoretical results and display the different impacts of delay in several examples.