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

Define about the sterols - non glyceride fractions, Define About the Sterol...

Define About the Sterols - Non Glyceride Fractions? These constitule a major proportion of the non-glyceride component while tocopherols, carotene pigments and flavour compound

Nicotinic acid or niacin, Niacin affects all lipid parameters favorably. It...

Niacin affects all lipid parameters favorably. It is one of the only agents that reduces Lp (a) significantly (up to 30 per cent). Unfortunately, compliance is poor because of freq

How does consecutive protein production occur in translation, How many of t...

How many of the same proteins are made at the same time by each ribosome in the translation of one mRNA molecule? How does consecutive protein production occur in translation?

What is the likely function of the snf gene, In yeast, a new mutation calle...

In yeast, a new mutation called suc was recently discovered.  The suc mutant cannot use sucrose as a source of carbon, and will not grow if the culture medium contains only sucrose

Which the dna is made based on the rna template, Q. Is there any situation ...

Q. Is there any situation in which the DNA is made based on the RNA template? What is the enzyme involved? The process in which the DNA is synthesized having as template a RNA

What are the main types of cancer that affect humans, Q. What are the main ...

Q. What are the main types of cancer that affect humans? An Excluding skin cancer, that are the more easily detected and so cases are registered in larger number, the main type

Control and informative function of organic molecules, Q. What are the few ...

Q. What are the few examples of the control and informative function of organic molecules? Based on genetic information, organic molecules control the entire work of the cell. D

Explain clear liquid diet, Explain Clear Liquid Diet Clear Liquid Die...

Explain Clear Liquid Diet Clear Liquid Diet:  It is composed  of  foods with  low residue content which  help  to minimize  the  load of food needing digestion  in  the  int

Factors responsible for food spoilage, Q. Can you explain Factors responsib...

Q. Can you explain Factors responsible for food spoilage? Spoilage, as you would realize, is quite a natural phenomenon. All foods undergo varying degrees of deterioration or s

Excretion in cockroach, EXCRETIO N IN COCKROACH- Animal is uricotelic....

EXCRETIO N IN COCKROACH- Animal is uricotelic. Excretory organs are malphighian tubules. 60-150 in 6-8 groups. In each group 10-15. Yellow coloured, blind tube, open in gut

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