Periodic solution of single population models on time scales

DOI10.1016/j.mcm.2010.03.048zbMath1201.34149OpenAlexW2081481882MaRDI QIDQ611795

Meng Fan, Huai-Ping Zhu, Ji-Min Zhang

Publication date: 14 December 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.03.048

zbMATH Keywords

periodic solutionstime scalescoincidence degree theorylogistic equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13) Dynamic equations on time scales or measure chains (34N05)

Related Items (9)

Unnamed Item ⋮ Existence of periodic solutions for a class of dynamic equations with multiple time varying delays on time scales ⋮ Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predator-prey model with regime switching ⋮ Positive periodic solutions for certain kinds of delayed \(q\)-difference equations with biological background ⋮ Periodic solutions of a Lotka-Volterra system with delay and diffusion ⋮ On the partial delta differentiability of fuzzy-valued functions via the generalized Hukuhara difference ⋮ Periodic solutions for a semi-ratio-dependent predator-prey system with delays on time scales ⋮ Li–Yorke Chaos in Hybrid Systems on a Time Scale ⋮ Existence and multiplicity results for first-order Stieltjes differential equations

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Periodicity of scalar dynamic equations and applications to population models
• Global attractivity and oscillations in a periodic delay-logistic equation
• Coincidence degree, and nonlinear differential equations
• Oscillation and stability in nonlinear delay differential equations of population dynamics.
• Existence of positive periodic solutions for a class of difference equations with several deviating arguments
• Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
• Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation
• Global stability for a class of nonlinear nonautonomous delay equations
• Periodicity in a class of non-autonomous scalar equations with deviating arguments and applications to population models
• Global Models of Growth and Competition
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