On the stability of a population dynamics model with delay
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 456-465

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We consider a model of the dynamics of an isolated population whose individuals pass through the three stages of evolution. We use a nonlinear autonomous differential equation with concentrated and distributed delay for description of the model. Effective sufficient conditions for the asymptotic stability of the nontrivial equilibrium point are obtained.
Keywords: population dynamics, delay differential equation, stability.
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     author = {V. V. Malygina},
     title = {On the stability of a population dynamics model with delay},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {456--465},
     publisher = {mathdoc},
     volume = {23},
     number = {123},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a14/}
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V. V. Malygina. On the stability of a population dynamics model with delay. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 456-465. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a14/