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Hi I would like a price quote for questions 2.1 and 2.2 in the attachment. I would need it in 3 days. The book I am using is "Elements of Mathematical Ecology" by Mark Kot. Also can you let me know if...

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Hi I would like a price quote for questions 2.1 and 2.2 in the attachment. I would need it in 3 days. The book I am using is "Elements of Mathematical Ecology" by Mark Kot. Also can you let me know if you have a discount code available? Thanks.
Answered Same Day Dec 25, 2021

Solution

David answered on Dec 25 2021
129 Votes
Solution 2.1-:
The given Gompertz equation in this question;

(


)
Where K, α and E are positive constants and the function N is positive.
Dividing by K on both side we get;

(


) (


) (


) (


)

(


) (


) {(


)

} (


)

(


) (


) {(


)} (


)
Make the substitution


then we get;

( )
( ( ) )

Integrate the above equation;
∫

( ( ) )
∫
We can use the substitution ( ( ) )
Then,









Then,
∫


∫

( )
*( ( ) )+
Exponentiating then yields;
( ( ) ) ( )
( ( ) ) ( )
( ) ...
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