A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey

Table 1

Critical values of some parameters of system (1.3) (𝑅_𝟏<𝟏 must be satisfied).

The conditions for global attractivity of (𝑥^∗(𝑡),0)
𝑝>𝑝^∗	𝑝^∗=1−1/(𝛽𝐾^2𝑑−𝑚𝐾^2)^𝑒𝑟𝑇−1
𝑇<𝑇^∗	𝑇^∗=1𝑟ln[1−ln(1−𝑝)^2ln(𝛽𝐾^2/𝑑−𝑚𝐾^2)]
𝑚>𝑚^∗	𝑚^∗=𝛽𝑑−1𝐾^2exp(−ln(1−𝑝)^2𝑒^𝑟𝑇)−1