$\"\"$

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Initial population of the logistic model is $\"\"$ and carrying capacity is $\"\"$ .

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The logistic model equation is $\"\"$ , where $\"\"$ .

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$\"\"$ is the initial population and $\"\"$ is carrying capacity.

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Here $\"\"$ and $\"\"$ .

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$\"\"$

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Find the value of $\"\"$ :

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Population grows to $\"\"$ after one year.

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Therefore, $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find the population for another three years after first year means that $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Population after four years is $\"\"$ .

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$\"\"$

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Poulation after four years is $\"\"$ .