PERIODIC SOLUTION OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS: VIA TOPOLOGICAL DEGREE THEORY AND MATRIX SPECTRAL THEORY

DOI10.1142/S0218127412501969zbMath1258.34114MaRDI QIDQ4907023

Yong-Hui Xia

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

periodic solutionglobal asymptotic stabilityLotka-Volterra system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (9)

A comparative study of deterministic and stochastic dynamics for a non-autonomous allelopathic phytoplankton model ⋮ Periodic solutions of a non-autonomous predator-prey system with migrating prey and disease infection: via Mawhin's coincidence degree theory ⋮ Periodic solutions of multispecies mutualism system with infinite delays ⋮ Existence and stability of periodic solution to delayed nonlinear differential equations ⋮ Periodic solutions of a stage-structured plant-hare model with toxin-determined functional responses ⋮ Multiple periodic solutions of an impulsive population system with delays ⋮ Existence and stability of periodic solution of impulsive neural systems with complex deviating arguments ⋮ Periodic solutions of a nonautonomous plant-hare model with impulses ⋮ A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity

Cites Work

• Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time
• Positive periodic solutions of Hill's equations with singular nonlinear perturbations
• Coincidence degree, and nonlinear differential equations
• On the differential equations of species in competition
• Stability in Gilpin and Ayala's models of competition
• Asymptotic analysis of interactions between highly conducting cylinders
• Stability and Hopf bifurcations in a competitive Lotka--Volterra system with two delays
• Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
• Global attractivity of an almost periodic \(N\)-species nonlinear ecological competitive model
• 2 N POSITIVE PERIODIC SOLUTIONS TO N SPECIES NON‐AUTONOMOUS LOTKA‐VOLTERRA UNIDIRECTIONAL FOOD CHAINS WITH HARVESTING TERMS
• New Conditions on the Existence and Stability of Periodic Solution in Lotka–Volterra's Population System
• Global asymptotic stability in a periodic Lotka-Volterra system
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• Global Models of Growth and Competition

This page was built for publication: PERIODIC SOLUTION OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS: VIA TOPOLOGICAL DEGREE THEORY AND MATRIX SPECTRAL THEORY