Logistic equation, Biology

Assignment Help:

In order to define growth limit logistic equation was given by Verhulst. In a given ecosystem, the maximum population that can exit is called carrying capacity (k).  The factors which affect carrying capacity are food, habitat and water present in that particular ecosystem.

The change in population with time is represented by following logistic equation.

963_logistic equation.png

     Where

          N      = Change in size of growing population

          N      =Initial population

          T       =Time

         R        =growth rate

         K        =carrying capacity

1.        The Difference between maximum population (K) and that which already exists is equal to (K-N).

2.        As existing population approaches maximum the value of (K-N) will become smaller. More   resistance would be encountered because of less available space and resources in that ecosystem. Therefore according to Logistic equation the intrinsic rate of natural increase (r) would reduce progressively as population increases towards carrying capacity (K)

 From above equation it is clear that factor  2317_logistic equation1.png acts against the rate of increase of population (rN).

Case 1: When value of N is negligible, the value of  2317_logistic equation1.png = 1 and population will grow rapidly.

                                                                                                                     

Case 2: When value N ~ K (assuming r to be constant). The value of  2317_logistic equation1.png­­­­­­  ≈ 0. Hence,

 

There will not be any growth in population and population will become stable of stationary.


Related Discussions:- Logistic equation

Tularaemia, Tularaemia The disease is known by different names like de...

Tularaemia The disease is known by different names like deer fly fever, rabbit fever, Ohara’s disease or tularensis. It is an acute, febrile, granulomatous infection, caused b

Define the stock solutions and distilled water, Assume that you have 1M sto...

Assume that you have 1M stock solutions of NaCl, KCl, and CaCl2. If the ion concentrations in human plasma are 120 mM Na+, 12mM K+, and 2 mM Ca+, compute the volumes of the stock s

Explain blood vessels that carry blood, Explain Blood Vessels that carry bl...

Explain Blood Vessels that carry blood? Blood vessels that carry blood away from the heart to the lungs or to the rest of the body are called arteries. The walls of arteries ha

What is genetic recombination and evolution , What is Genetic Recombination...

What is Genetic Recombination and Evolution ? Variation among the offspring of living organisms results from genetic recombination through sexual reproduction and mutation. Va

Visceral larva migrans, Visceral larva migrans Visceral larva migrans,...

Visceral larva migrans Visceral larva migrans, also known as larval granulomatosis, is a clinical syndrome produced by the extra-intestinal migration of larval nematodes and i

Define about the concept of sports nutrition, Define about the concept of s...

Define about the concept of sports nutrition? The concept of sports nutrition was evolved fundamentally with integration of different disciplines in order to collectively striv

Respiratory organ in animals, RESPIR A T ORY ORGANS IN ANIMALS - ...

RESPIR A T ORY ORGANS IN ANIMALS - In Protozoa plasmalemma functions as respiratory surface. In Porifera, respiration occur through body wall. In Coelentrata resp

Explain the technology of transgenic plant, Explain the technology in which...

Explain the technology in which transgenic plant was constructed in which seeds that will produce plants for a single crop.

Xylem transfer cells, Xylem transfer cells The lateral transport of io...

Xylem transfer cells The lateral transport of ions from root xylem to leaves probably takes place via xylem transfer cells which have two special features: The ce

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd