Scholarlink

Abstract <p> We consider a discrete-continuous predator-prey model and a derived discrete model ofisolated population. Unlike the well-known Lotka–Volterra model [<CitationRef CitationID="CR32">32</CitationRef>], we assume that new individuals are generated at fixedmoments. Thus, we obtain a mathematical model represented by a system of ordinary differentialequations with impulses. From this system we obtain a model of isolated population in the form ofa nonlinear difference second-order equation and study its dynamic regimes and phase changes inboth conservative and nonconservative cases. The model is relevant because it agrees withexperimental data from freely distributed databases on populations.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 发表日期：

    2025年12月22日

查看全文
  • Yu. V. Utyupin

摘要

Abstract

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