Home
Class 11
MATHS
An important problem in fishery science ...

An important problem in fishery science is to estimate the number of fish presently spawning in streams and use this information to predict the number of mature fish or "recruits" that will return to the rivers during the reproductive period. If S is the number of spawners and R the number of recruits, "Beverton-Holt spawner recruit function" is R(S) = `S/(alphaS+beta)` where `alpha and beta` are positive constants.
Show that this function predicts approximately constant recruitment when the number of spawners is sufficiently large.

Text Solution

Verified by Experts

The correct Answer is:
`1/alpha`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.4|28 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.5|34 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.2|15 Videos

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos

  • EXAMINATION QUESTION PAPER MARCH 2019

    PREMIERS PUBLISHERS|Exercise PART -IV|4 Videos

Similar Questions

Explore conceptually related problems

An important problem is fishery is to estimate the number of fish presently spawing in streams and use this information to predict the number of mature fish or "recruits" that will return to the rivers during the reproductive period. If S is the number of spawners and R the number of recruits, " Beverton-Holt spawner recruit function" is R(S) = S/((alphaS+beta)) where alpha and beta are positive constants, Show that this function predicts approximately constant recruitment when the number of spawners is sufficiently large.

Avogadro’s number is the number of molecules present in

Number of RNA molecule present in 80S ribosomes is

If alpha+beta=4" and "alpha^(3)+beta^(3)=44" the "alpha, beta are the roots of the equation

If cos alpha + cos beta =0 = sin alpha + sin beta , then cos 2 alpha + cos 2 beta is equal to

A positive integer n is of the form n=2^(alpha)3^(beta) , where alpha ge 1 , beta ge 1 . If n has 12 positive divisors and 2n has 15 positive divisors, then the number of positive divisors of 3n is

alpha beta x ^(alpha-1) e^(-beta x ^(alpha))

If alpha and beta are non-zero real number such that 2(cos beta-cos alpha)+cos alpha cos beta=1. Then which of the following is treu?

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. There resulting daughter is an: