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

Sex-influenced traits, what are the examples of sex-influenced traits in hu...

what are the examples of sex-influenced traits in human?

Adenosine triphosphate (atp), Adenosine triphosphate (ATP) is a general fo...

Adenosine triphosphate (ATP) is a general form in which the energy is stored in living systems; comprises of a nucleotide (with ribose sugar) with three phosphate groups. Energy c

Mycotic diseases-sheep, Goat and sheep M. mycoides subsp. capri is the...

Goat and sheep M. mycoides subsp. capri is the cause of caprine pleuropneumonia, a serious malady of goats. The disease is prevalent in certain parts of this country. The mort

Modification of mitosis, MODIFICATION OF MITOSIS 1 .      CRYPTOMITOS...

MODIFICATION OF MITOSIS 1 .      CRYPTOMITOSIS OR PROMITOSIS : Primitive type of mitosis. In this mitosis nuclear membrane not disappear (remain intact throughout the div

Assessment of new born - purposes and precautions, Assessment of new born ...

Assessment of new born The main purposes are: i) To identify normal characteristics in the neonate ii) To identify existing abnormalities, ii any iii) To carry

Is pollution always caused by humans, Q. Is pollution always caused by huma...

Q. Is pollution always caused by humans? In the most cases pollution is caused by human activity. Other species and some abiotic factors though can also pollute an ecosystem. F

How can you categorize flowering plants, Q. What are the two major groups i...

Q. What are the two major groups into which flowering plants are divided? Angiosperm plants are separated into monocotyledonous (monocots) and dicotyledonous (dicots).

Define tertiary level care - public nutrition, Define Tertiary level care -...

Define Tertiary level care - Public Nutrition? This is the highest level of health case available to the community for dealing with their most complex health problems, which 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