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

Study of asian chinese of normal range of waveform indices, A Collective St...

A Collective Study performed on Asian Chinese Normotensive Population to Obtain Healthy Normal Range of some Waveform Indices  Background-  Arterial blood pressure waveforms c

What are the organs that are part of the male genital system, Q. What are t...

Q. What are the organs that are part of the male genital system? The organs that comprise the male genital system are the testicles, the vas deferens, the seminal vesicles, the

Tolerance range - ecosystem, Tolerance Range - Ecosystem Organisms are...

Tolerance Range - Ecosystem Organisms are able to survive only within certain maximum and minimum limits with respect to each environmental factor such as water, light and tem

Explain what an isotonic fluid loss means, Your client has the flu and repo...

Your client has the flu and reports 5-6 loose stools a day. He has experienced an isotonic fluid volume loss. Explain what an isotonic fluid loss means. Your patient has a respi

Respiration , why should breathe faster after a hard work

why should breathe faster after a hard work

Possible recombinant genotypes, A woman is heterozygous for three X-linked ...

A woman is heterozygous for three X-linked loci: AaBbDd. She has seven sons with the following genotypes: two are X ABd Y three are X abD Y one is X ABD Y one is X Abd

Energy storage, Energy Storage As we said above, food intake and ener...

Energy Storage As we said above, food intake and energy expenditure for animals is approximately equal. If energy expenditure exceeds food intake, then the excess energy is t

Define the concept of health care, Define the Concept of Health Care? W...

Define the Concept of Health Care? We are aware of the fact that health is a fundamental human right. Thus, it becomes imperative for the State to assume responsibility for the

Epiboly - mechanism of gastrulation, EPIBOLY - The epibolic movement...

EPIBOLY - The epibolic movements occur only in the prospective ectodermal blastomeres. In the blastula of frog, migration and rearrangement of microceres over megameres i

Cracking, Cracking is the process in which large molecules are broken into ...

Cracking is the process in which large molecules are broken into smaller molecules.                      C 10 H 22         C 5 H 12 + C 5 H 10                      C 8 H

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