The dynamics of pest control pollution model with age structure and time delay

DOI10.1016/j.amc.2010.03.131zbMath1191.92074OpenAlexW2031138124WikidataQ125883177 ScholiaQ125883177MaRDI QIDQ984303

Bing Liu, Qian Zhang, Ying-Hui Gao

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.131

zbMATH Keywords

age structureintegrated pest managementmaturation time delayextinction and permanencepollution model

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Ecology (92D40) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (8)

Modelling and analysis of a pest-control pollution model with integrated control tactics ⋮ Dynamics of an SI epidemic model with external effects in a polluted environment ⋮ The dynamics of an eco-epidemic model with distributed time delay and impulsive control strategy ⋮ Two generalized predator-prey models for integrated pest management with stage structure and disease in the prey population ⋮ The study of a class of pest control pollution model with stage-structure and time delay ⋮ Fractional variational problems depending on indefinite integrals and with delay ⋮ Dynamic of a delayed predator-prey model with birth pulse and impulsive harvesting in a polluted environment ⋮ Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• Extinction and permanence of chemostat model with pulsed input in a polluted environment
• A stage-structured predator-prey model with disturbing pulse and time delays
• Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
• Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate
• Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control
• The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects
• Impulsive control strategies in biological control of pesticide
• Periodic solution of a two-species competitive system with toxicant and birth pulse
• The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
• Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
• Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects
• Staged-structured Lotka-Volterra predator-prey models for pest management
• The dynamics of a prey-dependent consumption model concerning impulsive control strategy
• Pulse vaccination strategy in a delayed SIR epidemic model with vertical transmission
• AN IMPULSIVE PREDATOR-PREY SYSTEM WITH BEDDINGTON–DEANGELIS FUNCTIONAL RESPONSE AND TIME DELAY
• PERMANENCE AND COMPLEXITY OF THE ECO-EPIDEMIOLOGICAL MODEL WITH IMPULSIVE PERTURBATION
• PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA–VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS
• GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS
• PULSE VACCINATION IN THE PERIODIC INFECTION RATE SIR EPIDEMIC MODEL
• The Effects of Impulsive Toxicant Input on a Population in a Polluted Environment
• DYNAMIC COMPLEXITIES IN A LOTKA–VOLTERRA PREDATOR–PREY MODEL CONCERNING IMPULSIVE CONTROL STRATEGY
• THE EFFECT OF IMPULSIVE SPRAYING PESTICIDE ON STAGE-STRUCTURED POPULATION MODELS WITH BIRTH PULSE
• Optimal harvesting and stability for two-species competitive system with stage structure

This page was built for publication: The dynamics of pest control pollution model with age structure and time delay