[PDF] Top 20 Dynamics of a predator prey model with impulsive biological control and unilaterally impulsive diffusion

... pesticides, biological pesticides, remote sensing and measure, computers, atomic energy ...to control pests, the insect pests im- pairing crops are increasing because of the resistance to the ...chemical ... See full document

... The hibernation constitutes an effective strategy of animals in order to survive cold en- vironments and limited availability of food, it is a universal phenomenon in biological world. However, there are few papers ... See full document

... pest control, such as chemical pesticides and biological control ...the predator and prey abruptly experience a change of ...impulses. Impulsive methods have been applied in ... See full document

... mathematical model. Recently, many impulsive predator-prey models with disper- sion and time delay have been investigated in ...delayed predator-prey system with impulsive ... See full document

... the impulsive differential equations, this paper gives some new sufficient conditions for the uniform persistence, global asymptotical stability, and almost periodic solution to a nonautonomous Lotka-Volterra ... See full document

... the dynamics of the prey-predator system is extremely meaningful and important in many fields, such as protecting varieties of the biological species, main- taining ecological balance, ... See full document

... diffusion predator-prey model of population be- tween two patches and proved that the diffusion rate of the pests and natural enemies in the patch greatly influenced the pest ...diffusion model ... See full document

... pest control in agriculture has been a major concern for ...to control the pests which destroy the plants and ultimately reduce crop ...pest control strategies are available to farmers such as ... See full document

... that impulsive differential equations model such ...of impulsive differential equations has been extensively used to model many real processes in biology, physics, chemistry, engineering, and ... See full document

... evolutionary dynamics of populations mirrored by the large number of mathematical models devoted to it in the scientific literature ...population dynamics with the effects of spatial heterogeneity is modeled ... See full document

... of control strategies on a predator-prey system with Monod-Haldane type functional ...of impulsive differential equation and small amplitude perturbation ...on impulsive perturbations ... See full document

... evolutionary dynamics of populations mirrored by the large number of mathematical models devoted to it in the scientific literature ...population dynamics with the effects of spatial heterogeneity is modeled ... See full document

... A model for the temporal spread of an epidemic in a closed plant population with periodic removals of infected plants has been considered by Fishman et ...above biological background, we de- velop a hybrid ... See full document

... where prey and predator species living together with the following assumptions: (1) It is a prey-predator system in a two patch environment (2) Both are accessible to both prey and ... See full document

... Pest control strategies have been attracted many experts over the past ...stage-structure model which incorporates a discrete delay and pulses in order to investigate how epidemics influence the pest ... See full document

... A predator–prey model, with aged structure in the prey population and the assumption that the predator hunts prey of all ages, is proposed and ...threshold dynamics of the ... See full document

... susceptible prey population is growing logistically at the rate r with carrying ca- pacity ...susceptible prey and infected prey follows bilinear mass action called as Holling Type ...susceptible ... See full document

... II predator-prey system with birth pulse and impulsive harvesting on predator population at different ...attractive prey-extinction boundary periodic solution of the investigated system ... See full document

... In the rest of this section, we state our main results. Section 1.2 shows the existence and uniqueness of solutions to the model (1) subject to conditions (2). Section 1.4 gives the criteria on the parameters of ... See full document

... [11] Z. Li and F. D. Chen, “Extinction in Periodic Competitive Stage-Structured Lotka-Volterra Model with the Effects of Toxic Substances,” Journal of Computational and Ap- plied Mathematics, Vol. 231, No. 1, ... See full document