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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am32-3-3, author = {Tapan Kumar Kar}, title = {Stability and optimal harvesting of a prey-predator model with stage structure for predator}, journal = {Applicationes Mathematicae}, volume = {32}, year = {2005}, pages = {279-291}, zbl = {1110.34032}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-3-3} }
Tapan Kumar Kar. Stability and optimal harvesting of a prey-predator model with stage structure for predator. Applicationes Mathematicae, Tome 32 (2005) pp. 279-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-3-3/