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

Neuston - aquatic ecosystem, Neuston - Aquatic Ecosystem These are una...

Neuston - Aquatic Ecosystem These are unattached organisms which live at the air-water interface such as floating plants and several types of animals. Some spend most of their

Adenine, Adenine is one of the four nitrogen-containing bases occurring in...

Adenine is one of the four nitrogen-containing bases occurring in the nucleotides, the building blocks of organic macromolecule group called as nucleic acids (DNA and RNA). Adenin

Vacuoles, VACUOLES  Some animals cells may have  one to a few small  fl...

VACUOLES  Some animals cells may have  one to a few small  fluid  filled vacuoles.. Plants  cells  in general  possess one or a few  large vacuoles. Vacuoles  of animals  cells

Can you explain right ventricle enlargement, Q. Can you explain Right Ventr...

Q. Can you explain Right Ventricle Enlargement? The right ventricle (RV) is roughly triangular in shape on the PA view, with a near vertical base - apex axis. When this chamber

Biodiesal, Diesel-like liquid obtained from materials of biological origin ...

Diesel-like liquid obtained from materials of biological origin is called biodiesel. Biodiesel can be obtained (i) either from lipids accumulated plants and algae or (ii) from

Phylem porifera, please give us this phylem''s example...

please give us this phylem''s example...

Show fruiting bodies present in a few fungi, Q What are the fruiting bodies...

Q What are the fruiting bodies present in a few fungi? Fruiting bodies are structures made of hyphae that project radially from the superior portion of the peduncle of a few fu

What are clotting factors, What are clotting factors? Clotting factors ...

What are clotting factors? Clotting factors are substances (enzymes, coenzymes, reagents) essential for the clotting stages to happen. Besides those triggering factors and reag

Who was gregor mendel, Who was Gregor Mendel? The Mendel is considered ...

Who was Gregor Mendel? The Mendel is considered the father of Genetics. He was a monk, botanist and biologist born in Austria in 1822 and who died in 1884. Throughout the years

Medtronic hancock-biological valves, Medtronic Hancock (Standard Model) :  ...

Medtronic Hancock (Standard Model) :  These are gluteraldehyde preserved xenograft aortic valve, which are mounted. The modified orifice version (M-0) is one where the right

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