\(I\)-optimal curve for impulsive Lotka-Volterra predator-prey model
type: Item
instance of: scholarly article
title: \(I\)-optimal curve for impulsive Lotka-Volterra predator-prey model
zbMATH Open document ID: 1007.34008
DOI: 10.1016/S0898-1221(02)00092-5
author: R. Smith
publication date: 2002-08-15T00:00:00Z
review text: For the classical Lotka-Volterra predator-pray system, the new notion of the \(I\)-optimal curve is introduced. The curve is disposed in the phase space of the system and intersects each trajectory of the Lotka-Volterra system at least once. The monotonicity, continuity and linear asymptotical behavior of this curve are proved.
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1781470
zbMATH Keywords: impulsive Lotka-Volterra model
zbMATH Keywords: predator-prey system
zbMATH Keywords: \(I\)-optimal curve
Wikidata QID: Q115564132
reviewed by: I. M. Stamova
MaRDI profile type: Publication
cites work: Exponential stability of the solutions of the initial value problem for systems with an impulse effect
cites work: Differential systems involving impulses
cites work: Q4463177
published in: Computers & Mathematics with Applications
Recommended article: Q4463177
Recommended article: Q3577366
Recommended article: Lyapunov functions for Lotka-Volterra predator-prey models with optimal foraging behavior
Recommended article: Q5296987
Recommended article: Q5754704
Recommended article: Q5435128
Recommended article: Dynamics of a Beddington-DeAngelis type predator-prey model with impulsive effect
Recommended article: A diffusive Holling-Tanner prey-predator model with impulse effect
Recommended article: Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations
Recommended article: DYNAMIC COMPLEXITIES IN A LOTKA–VOLTERRA PREDATOR–PREY MODEL CONCERNING IMPULSIVE CONTROL STRATEGY
description: scientific article; zbMATH DE number 1781470