Partial survival and extinction in two competing species with impulses

DOI10.1016/j.nonrwa.2007.11.012zbMath1162.34308OpenAlexW2034159188MaRDI QIDQ1015037

Weibing Wang, Shen, Jianhua, Zhi-guo Luo

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.11.012

zbMATH Keywords

competitionextinctionpermanenceLotka-Volterra systemimpulse

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34)

Related Items (9)

Chaos in predator-prey systems with/without impulsive effect ⋮ Effects of pulse culling on population growth of migratory birds and economical birds ⋮ Permanence in multispecies nonautonomous Lotka-Volterra competitive systems with delays and impulses ⋮ Partial extinction, permanence and global attractivity in nonautonomous \(n\)-species Lotka-Volterra competitive systems with impulses ⋮ \(N\)-species non-autonomous Lotka-Volterra competitive systems with delays and impulsive perturbations ⋮ Global positive periodic solutions of generalized \(n\)-species Gilpin-Ayala delayed competition systems with impulses ⋮ Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses ⋮ Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations ⋮ Permanence and partial extinction in an impulsive delay competitive system with the effect of toxic substances

Cites Work

• Unnamed Item
• Unnamed Item
• Extinction in a two dimensional Lotka-Volterra system with infinite delay
• Extinction in nonautonomous \(T\)-periodic competitive Lotka-Volterra system
• On the periodic Lotka-Volterra competition model
• Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
• Nonautonomous Lotka-Volterra systems. II
• The periodic predator-prey Lotka-Volterra model
• Competitive exclusion in a periodic Lotka--Volterra system
• Global stability in periodic competitive systems
• Extinction in nonautonomous competitive Lotka-Volterra systems
• On the Nonautonomous Volterra-Lotka Competition Equations
• Extinction of species in nonautonomous Lotka-Volterra systems
• Necessary and Sufficient Conditions for Extinction of One Species

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