Mathematical model for the control of a pest population with impulsive perturbations on diseased pest
نویسندگان
چکیده
منابع مشابه
Multi-State Dependent Impulsive Control for Pest Management
According to the integrated pest management strategies, we propose a model for pest control which adopts different control methods at different thresholds. By using differential equation geometry theory and the method of successor functions, we prove the existence of order one periodic solution of such system, and further, the attractiveness of the order one periodic solution by sequence conver...
متن کاملDynamics of a Stage Structure Pest Control Model with Impulsive Effects at Different Fixed Time
Many existing pest control models, which control pests by releasing natural enemies, neglect the effect that natural enemies may get killed. From this point of view, we formulate a pest control model with stage structure for the pest with constant maturation time delay through-stage time delay and periodic releasing natural enemies and natural enemies killed at different fixed time and perform ...
متن کاملStage-Structured Impulsive SI Model for Pest Management
An SI epidemic model with stage structure is investigated. In the model, impulsive biological control is taken, that is, we release infected pests to the field at a fixed time periodically. We get a sufficient condition for the global asymptotical stability of the pesteradication periodic solution (0,0, ̃ I(t)), and a condition for the permanence of the system. At last, a brief discussion shows ...
متن کاملOn impulsive integrated pest management models with stochastic effects
We extend existing impulsive differential equation models for integrated pest management (IPM) by including stage structure for both predator and prey as well as by adding stochastic elements in the birth rate of the prey. Based on our model, we propose an approach that incorporates various competing stochastic components. This approach enables us to select a model with optimally determined wei...
متن کاملOscillation in Pest Population and Its Management: A Mathematical Study
We study the role of predation dynamics in oscillation of pest population in insect ecology. A two-dimensional pest control model (under the use of insecticides) with time delay in predation is considered in this paper. By the Hopf bifurcation theory, we prove the existence of the stable oscillation of the system.We also consider the economic viability of the control process. First we improve t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2009
ISSN: 0307-904X
DOI: 10.1016/j.apm.2008.10.023