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

Table 2

Critical values of some parameters of system (1.3) (𝑅_𝟐>𝟏 must be satisfied).

The conditions for the permanence of system (1.3)
𝑝<𝑝∗	𝑝^∗=1−1/(𝛽𝐾^2𝑑−𝑚𝐾^2)^1−𝑒−𝑟𝑇
𝑇>𝑇∗	𝑇^∗1=−𝑟ln[1+ln(1−𝑝)^2ln(𝛽𝐾^2/𝑑−𝑚𝐾^2)]
𝑚<𝑚∗	𝑚^∗=𝛽𝑑−1𝐾^2exp{−ln(1−𝑝)^21−𝑒^−𝑟𝑇}