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Zbl 1054.34125
Song, Xin-yu; Chen, Lan-sun
Optimal harvesting and stability for a predator-prey system with stage structure. (English)
[J] Acta Math. Appl. Sin., Engl. Ser. 18, No. 3, 423-430 (2002). ISSN 0168-9673; ISSN 1618-3932/e

A predator-prey model with stage structure is considered. The prey populations are classified as immature and mature in order to model the stage structure and a time delay is used to account the time of maturity. It is also assumed that the mature prey is being harvested at a constant rate and both the mature prey and predator have nonlinear death rates. Conditions on global stability of the steady states and a threshold value for the harvesting constant are given.
[Shigui Ruan (Coral Gables)]

MSC 2000:: *34K20 Stability theory of functional-differential equations
92D25 Population dynamics
34K13 Periodic solutions of functional differential equations

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