Geodesic
On global asymptotic stability of the equilibrium of ``predator--prey''~system in varying environment
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2017), pp. 8-14

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This paper deals with a predator–prey system of differential equations. This ecological system is a model of Lotka–Volterra type whose prey population receives time-variation of the environment. It is not assumed that the time-varying coefficient is weakly integrally positive. We obtain the sifficient conditions of global asymptotic stability of the unique interior equilibrium if the time-variation is bounded.
Keywords: global asymptotic stability, Lotka–Volterra predator–prey model. 
@article{IVM_2017_4_a1,
     author = {A. O. Ignat'ev},
     title = {On global asymptotic stability of the equilibrium of ``predator--prey''~system in varying environment},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {8--14},
     publisher = {mathdoc},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_4_a1/}
}
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A. O. Ignat'ev. On global asymptotic stability of the equilibrium of ``predator--prey''~system in varying environment. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2017), pp. 8-14. http://geodesic.mathdoc.fr/item/IVM_2017_4_a1/