DYNAMIC COMPLEXITIES IN RATIO-DEPENDENT PREDATOR–PREY ECOSYSTEM MODELS WITH BIRTH PULSE AND PESTICIDE PULSE

DOI10.1142/S0218127404010916zbMath1065.92060OpenAlexW2030158633WikidataQ115523863 ScholiaQ115523863MaRDI QIDQ4655699

Jing Hui, Lan-Sun Chen

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404010916

zbMATH Keywords

chaosbirth pulseperiod-doubling bifurcationBeverton-Holt functionRicker functionRatio-dependentperiod-halving bifurcationpesticide pulse

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

Dynamic Complexities in a Pest Control Model with Birth Pulses ⋮ Dynamics of a stage structure pest control model with impulsive effects at different fixed time ⋮ Permanence and partial extinction in an impulsive delay competitive system with the effect of toxic substances

Cites Work

• A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
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