Logistic equation, Biology

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


          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.

Posted Date: 7/11/2012 7:53:59 AM | Location : United States

Related Discussions:- Logistic equation, Assignment Help, Ask Question on Logistic equation, Get Answer, Expert's Help, Logistic equation Discussions

Write discussion on Logistic equation
Your posts are moderated
Related Questions
Implant insertion The technique for insertion of the implant depends largely upon the system being used. In general, the final bone preparation site diameter is slightly smalle

Explain Lipid Transport in Nutritional Care? Proteins provide the transport mechanism for lipids by forming lipoproteins. This helps to prevent fatty infiltration and hence pro

Cohesion-adhesion theory describes the properties of water which help move it through the plant. Cohesion is the property of water molecules to stick together (held by hydrogen bo

Algae Advantages a) Produces proteins which have almost all the Essential Amino acids. b) Rich in tyrosine and serine, low in sulphur containing amino acids.

Avian influenza The etiological a gentisa via ninfluenz a type A virus und e r the family Orthomyxoviridae. Avian influenza pandemics in Pakistan, Nepal and Myanamar (1995) and

Give the results of DistaE Dissection ? Results :  For acute dissection of different parts of aorta, the mortality is reported as 9 to 33 per cent. In the International Regis

Why are agricultural fields often less stable than natural communities in the similar area? Because agricultural fields usually having one species of crop plant, they have low

What is Atrial Switches Operations (Senning or Mustard Operation) ? In transposition of the great arteries there is ventriculo arterial discordance whereby aorta arises from ri

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4