2021
DOI: 10.48550/arxiv.2106.09183
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Global Dynamics of a Predator-Prey Model with State-Dependent Maturation-Delay

Abstract: In this paper, a stage structured predator-prey model with general nonlinear type of functional response is established and analyzed. The state-dependent time delay (hereafter SDTD) is the time taken from predator's birth to its maturity, formatted as a monotonical (ly) increasing, continuous(ly) differentiable and bounded function on the number of mature predator. The model is quite different from many previous models with SDTD, in the sense that the derivative of delay on the time is involved in the model. F… Show more

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