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

Oxidation of pyruvate to acetyl coa, OXIDATION OF PYRUVATE TO ACETYL CoA ...

OXIDATION OF PYRUVATE TO ACETYL CoA The oxidation of  pyruvate  to acetyl CoA is  the irreversible route from glycolysis  to the citric acid cycle. What is citric acid cycle?

Explain the dietary management in trauma, Explain the Dietary Management in...

Explain the Dietary Management in Trauma? Trauma As a result of metabolic responses to injury, there is an increase in the energy expenditure. Oxidation of body fat stores take

Phylum annelida, what so special for phylum annelida

what so special for phylum annelida

How does the intensity of simple diffusion differ, How does the intensity o...

How does the intensity of simple diffusion differ in relation to the concentration gradient of the moved substance? The higher the concentration gradient of a substance the ext

Nutrition, examples of heterotrophic nutrition

examples of heterotrophic nutrition

In which area dietitians works, In which area Dietitians works Dietitia...

In which area Dietitians works Dietitians can work in a variety of areas, as already mentioned earlier, many of these are in the  Hospitals or in  the community  as  'Clinical

Determine about the nervous tissues, Determine about the nervous tissues ...

Determine about the nervous tissues The nervous tissues throughout the body, including the visual nervous system, are continuously active. Electrical reactions can only be indu

Pangenesis theory - pre-mendelian theory, Pangenesis Theory (i)        ...

Pangenesis Theory (i)         Charles Darwin propounded pangenesis theory. (ii)         According to this theory every cell, of animal body produces many minute particles kn

Define the role of fluorine in human body, Define the role of Fluorine in H...

Define the role of Fluorine in Human Body? Fluorine is potentially a toxic element. Its essentiality for humans is not established although the role of fluoride in providing pr

Determine the adaptation to terrestrial life, Why can the amnion also be co...

Why can the amnion also be considered an adaptation to terrestrial life? The amnion is also an adaptation to dry land since one of its functions is to prevent desiccation of th

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