Pest management of a prey-predator model with sexual favoritism (2009)
Pei, Yongzhen, Yang, Yong, Li, Changguo, Chen, Lansun
Although sex of prey is an important factor for the risk of predating, few articles consider the consequences of sexual favoritism and the corresponding effects on the impulsive predator–prey...
We investigate a delayed stage-structured Ivlev's functional response predator-prey model with impulsive stocking on prey and continuous harvesting on predator. Sufficient conditions of the global...
Stage-Structured Impulsive SI Model for Pest Management (2008)
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...
A Delayed Epidemic Model with Pulse Vaccination (2008)
A delayed SEIRS epidemic model with pulse vaccination and nonlinear incidence rate is proposed. We analyze the dynamical behaviors of this model and point out that there exists an infection-free...
We consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature....
We consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature....
A Delayed Epidemic Model with Pulse Vaccination (2008)
A delayed SEIRS epidemic model with pulse vaccination and nonlinear incidence rate is proposed. We analyze the dynamical behaviors of this model and point out that there exists an infection-free...
We investigate a delayed stage-structured Ivlev's functional response predator-prey model with impulsive stocking on prey and continuous harvesting on predator. Sufficient conditions of the global...
Stage-Structured Impulsive SI Model for Pest Management (2007)
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...
Periodicity in an impulsive logistic equation with a distributed delay (2005)
With the help of a continuation theorem based on the Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of a positive periodic solution of an...
Periodicity in an impulsive logistic equation with a distributed delay (2005)
With the help of a continuation theorem based on the Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of a positive periodic solution of an...
The periodic competing Lotka-Volterra model with impulsive effect (2004)
In this paper, the dynamic behaviour of a classical periodic Lotka–Volterra competing system with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive...
Extinction and permanence of a two-prey one-predator system with impulsive effect (2003)
Zhang, Yujuan, Liu, Bing, Chen, Lansun
In this paper, we investigate a two‐prey one‐predator system with impulsive effect on the predator of fixed moment. By using Floquet's theorem and small‐amplitude perturbation...
A discrete predator-prey system with age-structure for predator and natural barriers for prey (2001)
YONGZHEN PEI, CHANGGUO LI, LANSUN CHEN, CHUNHUA WANG
This work investigates the dynamic behaviors of one-prey multi-predator model with defensive ability of the prey by introducing impulsive biological control strategy. By using the Floquent theorem...
OSCILLATION CRITERIA FOR A CLASS OF SECOND-ORDER IMPULSIVE DELAY DIFFERENCE EQUATIONS
This paper is devoted to the investigation of the oscillation of a class of second-order nonlinear impulsive delay difference equations. Some interesting results are obtained, and some examples which...
PERIODIC SOLUTIONS OF A DISCRETE TIME NONAUTONOMOUS TWO-SPECIES MUTUALISTIC SYSTEM WITH DELAYS
We establish a discrete time non-autonomous two-species mutualistic system with delays by considering the influence of many generations on the density of species population. With the help of the...
A FOOD CHAIN SYSTEM WITH DENSITY-DEPENDENT BIRTH RATE AND IMPULSIVE PERTURBATIONS
SHUWEN ZHANG, FENYAN WANG, LANSUN CHEN
We investigate a three-species food chain system with density-dependent birth rate and impulsive effect concerning biological and chemical control strategy â periodic releasing of natural enemies or...
SHUWEN ZHANG, DEJUN TAN, LANSUN CHEN
The effects of periodic forcing and impulsive perturbations on the predatorâprey model with BeddingtonâDeAngelis functional response are investigated. We assume periodic variation in the intrinsic...
COMPLEXITY OF AN IVLEV'S PREDATOR-PREY MODEL WITH PULSE
In this paper, we investigate the extinction, permanence and dynamic complexity of the two-prey, one-predator system with Ivlev's functional response and impulsive perturbation on the predator at...
In this work, we consider a stage-structured pest management SI model with time delay and diseased pests impulsive transmission. Sufficient conditions which guarantee the global attractivity of...
GUANGZHAO ZENG, LANSUN CHEN, LIHUA SUN, YING LIU
This paper considers a non-autonomous competitive two-species model with stage structure in one species. The conditions of permanence obtained. Furthermore, the existence and asymptotic stability of...