Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses

Table 1

Parameter values used in the simulations of system (3).

Parameter	Interpretation	Value
𝑟1(𝑡)	Growth rate of the prey	1+sin(2𝜋𝑡)
𝑟2(𝑡)	Death rate of the predator	0.03+0.01sin(2𝜋𝑡)
𝑏1(𝑡)	Intracompetition coefficient among the prey	1−0.1sin (2πt)
𝑏2(𝑡)	Intracompetition coefficient among the predators	0.4−0.1sin(2𝜋𝑡)
𝑐1(𝑡)	Capture rate of predator on prey	0.7+0.1cos(2𝜋𝑡)
𝑐2(𝑡)	Conversion rate of nutrition	0.2+0.1sin(2𝜋𝑡)
𝑘	The environment carrying capacity	10
𝑚	Mutual interference constant	1/3
ℎ𝑘	Impulse perturbations on prey	—
𝑔𝑘	Impulse perturbations on predator	—