Geodesic
Relaxation Oscillations in a System with Delays Modeling the Predator--Prey Problem
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 52-98

Voir la notice de l'article provenant de la source Math-Net.Ru

A new asymptotic method for investigating complex relaxation oscillations of a system with delay was offered. Applying it, we can reduce the problem of predator-prey system dynamics to problem of one-dimensional maps analysis. Some conclusions of biological nature based on the asymptotic analysis were made.
Keywords: delay differential equation, large parameter, asymptotic, periodic solution. 
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     author = {S. A. Kashchenko},
     title = {Relaxation {Oscillations} in a {System} with {Delays} {Modeling} the {Predator--Prey} {Problem}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {52--98},
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     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a3/}
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S. A. Kashchenko. Relaxation Oscillations in a System with Delays Modeling the Predator--Prey Problem. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 52-98. http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a3/