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

What is the external rigid carapace of arthropods called, Q What is the ext...

Q What is the external rigid carapace of arthropods called? Of which substance is it made? Which kind of organic molecule is that substance? The exterior carapace of arthropods

Determine the modification of food starches, Modification of Food Starches ...

Modification of Food Starches Positive attributes of starches can be greatly improved and/or negative characteristics diminished by slight and relatively simple modifications.

Deficiency diseases-iodine deficiency, Iodine  deficiency Iodine is an...

Iodine  deficiency Iodine is an important component of thyroid hormones, which play active role in several physiological process such as control of basal metabolic rate, oxidat

Amphibia, an assignment of amphibians

an assignment of amphibians

Explain the cell cycle in details, Explain the cell cycle in details? M...

Explain the cell cycle in details? Most cells of higher organisms follow a cyclic pattern of division. The bulk of the cycle consists of the stage known as interphase, the peri

Potential air pollutants encountered in working environment, Question: ...

Question: a) Why is it important to maintain good standards of Indoor Air Quality in modern offices. Briefly explain the potential air pollutants encountered in such working

New Technology, What is the best microscope to get a detailed view of the p...

What is the best microscope to get a detailed view of the parts inside of a preserved plant cell

Mycotoxicoses, Mycotoxicoses Mycotoxicoses cause heavy economic loss d...

Mycotoxicoses Mycotoxicoses cause heavy economic loss due to high morbidity and consequent production loss. Low grade mortality is also recorded. The main toxins involved are

What are yeast, Q. What are yeast? Yeasts are unicellular fungi, which ...

Q. What are yeast? Yeasts are unicellular fungi, which are widely distributed in nature. They are somewhat larger than bacteria. The cell length is about 10μm and the diameter

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