Given the description of the phenomena, identify the corresponding mathematical model.A population of fish P(t) lives in an environment with limited resources. As a result, the environment can only supportthe population if it contains no more than 100, 000 fish (otherwise some fish would starve due to an inadequate supplyof food). At any given time, the relative number of additional fish the environment can support is (100, 000 ·by 100, 000. Due to the environment, the population grows at a rate proportional to the product of the currentP) dividedpopulation and the relative number of additional fish the environment can support.dPkP(100,000 – P)a.%Ddt100,000k(100, 000 – P)b. dP%3Ddt100, 000C.dP= k(100, 000 – P)dtO d.dPkP%3Ddt100, 000

Answered: Given the description of the phenomena,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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