3.9. Reanalyze Example 3.7, but suppose instead that the death rate n= n2 due to increased competition

3.9. Reanalyze Example 3.7, but suppose instead that the death rate μn= βn2 due to increased competition for limited resources by larger populations of individuals. Use its Fokker–Planck equation to then argue that the corresponding SDE is approximately dN = (αN−βN2)dt+



αN+βN2dW.