Final answer:
Option 3.
The growth rate of the predator population in Lotka-Volterra models is represented by the equation acNP - mP, which is option 3. It accounts for prey encounters and predator mortality rates.
Step-by-step explanation:
In the Lotka-Volterra models of predator-prey interactions, the growth rate of the predator population is represented by the equation acNP - mP, which corresponds to option 3.
This expression denotes that the growth rate of the predator population (P) is proportional to the number of encounters with prey (N), represented by the term acNP, where a is the search efficiency rate and c represents the rate at which consumed prey are converted into predator offspring.
The term -mP reflects the mortality rate or natural death rate of the predators, subtracting from the predator population growth.
Therefore, the correct option in the final answer that represents the growth rate of predator population in the Lotka-Volterra models is option 3, acNP - mP.