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This article is cited in 4 scientific papers (total in 4 papers)
Mathematics
Stability of solutions in the predator-prey model with delay
M. A. Skvortsovaab a Sobolev Institute of Mathematics, Akademika Koptyuga ave., 4, Novosibirsk, Russia
b Novosibirsk State University, Pirogova st., 2, Novosibirsk 630090, Russia
Abstract:
We consider a system of delay differential equations describing the interaction between two populations the predators and prey. We study the asymptotic stability of stationary solutions to this system. Using the modified Lyapunov-Krasovskii functional we establish estimates for solutions characterizing the rate of convergence to the stationary solutions.
Keywords:
predator-prey model, delay differential equations, asymptotic stability, characteristic quasipolynomial, estimates for solutions, modified Lyapunov-Krasovskii functional.
Received: 15.05.2016
Citation:
M. A. Skvortsova, “Stability of solutions in the predator-prey model with delay”, Mathematical notes of NEFU, 23:2 (2016), 108–120
Linking options:
https://www.mathnet.ru/eng/svfu27 https://www.mathnet.ru/eng/svfu/v23/i2/p108
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Abstract page: | 375 | Full-text PDF : | 316 | References: | 39 |
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