Simple Discrete-Continuous Predator-Prey Models and a Discrete Second-Order Model of Isolated Population

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Simple Discrete-Continuous Predator-Prey Models and a Discrete Second-Order Model of Isolated Population. / Утюпин, Юрий Валерьевич.

In: Siberian Advances in Mathematics, Vol. 35, No. 4, 22.12.2025, p. 356-373.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{9570ebc877b24c1288ef75463557107d,

title = "Simple Discrete-Continuous Predator-Prey Models and a Discrete Second-Order Model of Isolated Population",

abstract = "We consider a discrete-continuous predator-prey model and a derived discrete model of isolated population. Unlike the well-known Lotka–Volterra model [32], we assume that new individuals are generated at fixed moments. Thus, we obtain a mathematical model represented by a system of ordinary differential equations with impulses. From this system we obtain a model of isolated population in the form of a nonlinear difference second-order equation and study its dynamic regimes and phase changes in both conservative and nonconservative cases. The model is relevant because it agrees with experimental data from freely distributed databases on populations.",

keywords = "ordinary differential equation with impulses, bifurcations of mappings, conservative dynamics, population dynamics, discrete-continuous models",

author = "Утюпин, {Юрий Валерьевич}",

note = "Utyupin, Y.V. Simple Discrete-Continuous Predator-Prey Models and a Discrete Second-Order Model of Isolated Population. Sib. Adv. Math. 35, 356–373 (2025). https://doi.org/10.1134/S1055134425040066",

year = "2025",

month = dec,

day = "22",

doi = "10.1134/S1055134425040066",

language = "English",

volume = "35",

pages = "356--373",

journal = "Siberian Advances in Mathematics",

issn = "1055-1344",

publisher = "Pleiades Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Simple Discrete-Continuous Predator-Prey Models and a Discrete Second-Order Model of Isolated Population

AU - Утюпин, Юрий Валерьевич

N1 - Utyupin, Y.V. Simple Discrete-Continuous Predator-Prey Models and a Discrete Second-Order Model of Isolated Population. Sib. Adv. Math. 35, 356–373 (2025). https://doi.org/10.1134/S1055134425040066

PY - 2025/12/22

Y1 - 2025/12/22

N2 - We consider a discrete-continuous predator-prey model and a derived discrete model of isolated population. Unlike the well-known Lotka–Volterra model [32], we assume that new individuals are generated at fixed moments. Thus, we obtain a mathematical model represented by a system of ordinary differential equations with impulses. From this system we obtain a model of isolated population in the form of a nonlinear difference second-order equation and study its dynamic regimes and phase changes in both conservative and nonconservative cases. The model is relevant because it agrees with experimental data from freely distributed databases on populations.

AB - We consider a discrete-continuous predator-prey model and a derived discrete model of isolated population. Unlike the well-known Lotka–Volterra model [32], we assume that new individuals are generated at fixed moments. Thus, we obtain a mathematical model represented by a system of ordinary differential equations with impulses. From this system we obtain a model of isolated population in the form of a nonlinear difference second-order equation and study its dynamic regimes and phase changes in both conservative and nonconservative cases. The model is relevant because it agrees with experimental data from freely distributed databases on populations.

KW - ordinary differential equation with impulses

KW - bifurcations of mappings

KW - conservative dynamics

KW - population dynamics

KW - discrete-continuous models

UR - https://www.scopus.com/pages/publications/105025454588

U2 - 10.1134/S1055134425040066

DO - 10.1134/S1055134425040066

M3 - Article

VL - 35

SP - 356

EP - 373

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 4

ER -

ID: 73777881