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

Tapan Kumar Kar

Applicationes Mathematicae (2005)

  • Volume: 32, Issue: 3, page 279-291
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Tapan Kumar Kar. "Stability and optimal harvesting of a prey-predator model with stage structure for predator." Applicationes Mathematicae 32.3 (2005): 279-291. <http://eudml.org/doc/279199>.

@article{TapanKumarKar2005,
abstract = {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.},
author = {Tapan Kumar Kar},
journal = {Applicationes Mathematicae},
keywords = {stage structure; prey-predator; permanence; optimal harvesting policy},
language = {eng},
number = {3},
pages = {279-291},
title = {Stability and optimal harvesting of a prey-predator model with stage structure for predator},
url = {http://eudml.org/doc/279199},
volume = {32},
year = {2005},
}

TY - JOUR
AU - Tapan Kumar Kar
TI - Stability and optimal harvesting of a prey-predator model with stage structure for predator
JO - Applicationes Mathematicae
PY - 2005
VL - 32
IS - 3
SP - 279
EP - 291
AB - 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.
LA - eng
KW - stage structure; prey-predator; permanence; optimal harvesting policy
UR - http://eudml.org/doc/279199
ER -

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