To determine The solution of the Schaefer model, find the equilibrium solutions and explain the sustainable yield corresponding to the harvest H . Explanation It is given that the population y ( t ) of a certain kind of fish is given by the logistic equation. The population decrease due to fishing is described by the equation model as follows. y ′ = A y − B y 2 − H y = K y − B y 2 = y ( K − B y ) ... ( 1 ) The above equation is of Bernoulli type and its general solution is as follows. y = ( e − ∫ ( A − H ) d t ( C + ∫ B e ∫ ( A − H ) d t d t ) ) − 1 On evaluating the integrals from the above equation it implies that, y = ( e − ( A −

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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Chapter 1.5, Problem 36P

To determine

The solution of the Schaefer model, find the equilibrium solutions and explain the sustainable yield corresponding to the harvest H.

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Chapter 1.5, Problem 35P

Chapter 1.5, Problem 37P

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