EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS TO LOTKA–VOLTERRA NETWORK-LIKE FOOD-CHAIN SYSTEM WITH DELAYS AND IMPULSES ON TIME SCALES

DOI10.1142/S179352451450003XzbMath1305.34144MaRDI QIDQ2922081

Fengzao Yang, Kaihong Zhao, Liang Ding

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

time scalesmultiple periodic solutionscoincidence degreenetwork-like food-chain systemtime delays and impulses

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Dynamic equations on time scales or measure chains (34N05)

Related Items (4)

Permanence and almost periodic solutions for an n-species Lotka–Volterra food chain system on time scales ⋮ Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales ⋮ Existence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays ⋮ Existence of positive periodic solutions for the impulsive Lotka-Volterra cooperative population model with time-delay and harvesting control on time scales

Cites Work

• Coincidence degree, and nonlinear differential equations
• Food chains in the chemostat: Relationships between mean yield and complex dynamics
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