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

Importance of mitosis, Equal Distribution of Hereditary Material: In mit...

Equal Distribution of Hereditary Material: In mitosis the heredity material is equally distributed in the daughter cell. 2.No Change in Genetic Information: As there is no

Hemodynamic measurements of tricuspid stenosis, Q. Hemodynamic Measurements...

Q. Hemodynamic Measurements of tricuspid stenosis? Unless one suspects it clinically and echocardiographically, and plans the hemodynamic study - diagnosis of tricuspid stenosi

Define sample preparation for haemoglobin content in blood, Define Sample P...

Define Sample Preparation for Haemoglobin Content in Blood Wipe the index finger or middle finger with a cotton swab soaked in spirit. Prick the finger with a lancet op

Theories of origin of life, what we the strengths and weaknesses of pangene...

what we the strengths and weaknesses of pangenesis theory

Why the rate of photosynthesis does increases, Why the rate of photosynthes...

Why the rate of photosynthesis does increases, peak, and then reduces as temperature increases? Increasing the temperature initially accelerates the many chemical reactions in

Paper points & chemicals removal of gutta percha, Paper points & chemicals ...

Paper points & chemicals removal of gutta percha: -  Flushing action: residual of qutta- percha and sealers chemically solvent by floating pulp chamber with chloroform. -  Chem

What is the location of the salivary glands in humans, What is the location...

What is the location of the salivary glands in humans? There are 6 major salivary glands and they are located one in every parotid gland, two beneath the mandibles (submandibul

What respectively are zygotic meiosis, What respectively are zygotic meiosi...

What respectively are zygotic meiosis, gametic meiosis and sporic meiosis? Zygotic meiosis is the one that happens in the haplontic haplobiontic life cycle. Gametes from adult

Noise pollution, Sound is a main mean of communication and entertainment an...

Sound is a main mean of communication and entertainment and is also very effective alarm system for some animal. A loud and unwanted or unpleasant sound causes discomfort and is ca

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