GLOBAL STABILITY OF PERIODIC SOLUTIONS OF PREDATOR-PREY SYSTEM WITH HOLLING TYPE Ⅲ FUNCTIONAL RESPONSE

DOI10.11948/2156-907X.20190121zbMath1465.92110MaRDI QIDQ5859417

Xiang Zhu, Wei Ding

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionglobal stabilityperiodic solutionMawhin's continuous theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

Related Items (1)

A novel mechanism measurement of predator interference in predator-prey models

Cites Work

• Positive periodic solution of an augmented predator-prey model with seasonal harvest of prey and migration of predator
• Existence and attractiveness of order one periodic solution of a Holling I predator-prey model
• Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response
• Existence and global stability of positive periodic solutions of a predator-prey system with delays
• Periodic solutions for a predator-prey model with Holling-type functional response and time delays
• Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control
• Periodic solutions and stability for a delayed discrete ratio-dependent predator-prey system with Holling-type functional response
• Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response
• Global stability of a periodic Holling‐Tanner predator‐prey model

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