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Suppose ticks=100, mice=50, others=50 (which will increase to 60)
P(eat mice)=1/2 P(eat others)=1/2
N(infected)=50 N(infected)=50
If ticks are not hungry, the number of ticks won’t increase because more food are provided.
P(eat mice)=5/11 P(eat others)=6/11
N(infected)=45 N(infected)=55
The aim can be achieved.
However, if they are hungry, the number of them will increase with the increasing food.
P(eat mice)=5/11 P(eat others)=6/11
N(infected)=50 N(infected)=60
The aim cann’t be achieved.
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