Asymptotic Analysis and Extinction in a Stochastic Lotka-Volterra Model
Klebaner, F.C. ; Liptser, R.
Ann. Appl. Probab., Tome 11 (2001) no. 2, p. 1263-1291 / Harvested from Project Euclid
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A stochastic Lotka–Volterra model is formulated by using the semimartingale approach. The large deviation principle is established, and is used to obtain a bound for the asymptotics of the time to extinction of prey population. The bound is given in terms of past-dependent ODE’s closely related to the dynamics of the deterministic Lotka –Volterra model.
Publié le : 2001-11-14
Classification:  predator-prey models,  large deviations,  semimartingales,  extinction,  60I27,  60F10 
@article{1015345403,
     author = {Klebaner, F.C. and Liptser, R.},
     title = {Asymptotic Analysis and Extinction in a Stochastic Lotka-Volterra
		 Model},
     journal = {Ann. Appl. Probab.},
     volume = {11},
     number = {2},
     year = {2001},
     pages = { 1263-1291},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1015345403}
}

Klebaner, F.C.; Liptser, R. Asymptotic Analysis and Extinction in a Stochastic Lotka-Volterra
		 Model. Ann. Appl. Probab., Tome 11 (2001) no. 2, pp.  1263-1291. http://gdmltest.u-ga.fr/item/1015345403/