Geometric analysis of an integrated pest management model including two state impulses

DOI10.1155/2014/963072zbMath1474.92092OpenAlexW2082881298WikidataQ59043154 ScholiaQ59043154MaRDI QIDQ1725392

Wencai Zhao, Yulin Liu, Tongqian Zhang, Xin-Zhu Meng

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/963072

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

A vertically transmitted epidemic model with two state-dependent pulse controls ⋮ Periodic solution and control optimization of a prey-predator model with two types of harvesting ⋮ Dynamic analysis of a prey-predator model with state-dependent control strategy and square root response function ⋮ THE GEOMETRICAL ANALYSIS OF A PREDATOR-PREY MODEL WITH MULTI-STATE DEPENDENT IMPULSES

Cites Work

• Unnamed Item
• Unnamed Item
• Integrated pest management models and their dynamical behaviour
• The dynamics of a high-dimensional delayed pest management model with impulsive pesticide input and~harvesting prey at different fixed moments
• The geometrical analysis of a predator-prey model with two state impulses
• Multiple attractors of host-parasitoid models with integrated pest management strategies: eradication, persistence and outbreak
• State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences
• Variational approach to impulsive differential equations
• A stage-structured predator-prey model with disturbing pulse and time delays
• Topological conjugation and asymptotic stability in impulsive semidynamical systems
• The dynamics of an age structured predator-prey model with disturbing pulse and time delays
• Permanence and global attractivity of stage-structured predator-prey model with continuous harvesting on predator and impulsive stocking on prey
• Mathematical modelling to control a pest population by infected pests
• Qualitative analysis of a modified Leslie-Gower and Holling-type II predator-prey model with state dependent impulsive effects
• A delayed epidemic model with stage-structure and pulses for pest management strategy
• Models for integrated pest control and their biological implications
• Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects
• A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin
• Global stability and optimisation of a general impulsive biological control model
• Periodic boundary value problems for first-order impulsive ordinary differential equations
• The mathematical study of pest management strategy
• Periodic solution of prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control
• Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment
• The study of a ratio-dependent predator-prey model with stage structure in the prey
• The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
• Existence of periodic solution of order one of planar impulsive autonomous system
• A STAGE-STRUCTURED PREDATOR-PREY SI MODEL WITH DISEASE IN THE PREY AND IMPULSIVE EFFECTS
• HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS
• HETEROCLINIC BIFURCATIONS OF A PREY–PREDATOR FISHERY MODEL WITH IMPULSIVE HARVESTING
• Orbital stability of periodic solutions of autonomous systems with impulse effect
• Global Stability for a Class of Predator-Prey Systems
• DYNAMICS ON A HOLLING II PREDATOR–PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL

This page was built for publication: Geometric analysis of an integrated pest management model including two state impulses