3.1.10. Another version of a predator-prey model is P t+1
​
Q t+1
​
​
=P t
​
e r(1−P t
​
/K)−sQ t
​
,
=u(1−e −vQ t
​
)P t
​
,
​
where s,u,v>0 and r,K are as in the logistic model. Explain why these equations are reasonable. What happens to the prey in the absence of predators? What happens to the predators in the absence of prey? What are the effects of e −sQ t
​
and (1−e −vQ t
​
) in the model equations? [You might want to graph e −x
and (1−e −x
) as part of your explanation.]