Stability and optimal harvesting of a prey-predator model with stage structure for predator

Volume 32 / 2005

Tapan Kumar Kar Applicationes Mathematicae 32 (2005), 279-291 MSC: 34C05, 92D25. DOI: 10.4064/am32-3-3


The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.


  • Tapan Kumar KarDepartment of Mathematics
    Bengal Engineering and Science University, Shibpur
    Howrah-711 103, India

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