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

Oxygen - aquatic ecosystem, Oxygen - Aquatic Ecosystem Oxygen is found...

Oxygen - Aquatic Ecosystem Oxygen is found in waters in dissolved form. It enters the aquatic ecosystem through the air water interface and by the photosynthetic activities of

How does the female gamete move from the ovary to the uterus, Q. How does t...

Q. How does the female gamete move from the ovary to the uterus? The female gamete released from the ovary falls into the surrounding abdominal cavity and is collected by the F

Why theories are import, Theories are import because they can be used to a....

Theories are import because they can be used to a. Test research hypothesis b. Develop questions which will facilitate more effective research c. Conduct more meaningful and useful

Explain the endochondral ossification, Explain the endochondral ossificatio...

Explain the endochondral ossification The second type of osteogenesis is endochondral ossification. This process is different from intramembranous ossification in that it occur

Explain whey protein concentrates, Whey Protein Concentrates You alrea...

Whey Protein Concentrates You already know that whey is the residual liquid substance that is obtained by separating the coagulum from milk during cheese making. There are imp

Glycolipids, G L YCOLIPIDS They are lipids having sugar residues. ...

G L YCOLIPIDS They are lipids having sugar residues. Two common glycolipids are cerebrosides and gangliosides. (1) Cerebrosides They are made of amino alcohol sphi

Which animals make cutaneous respiration, Q. Which animals make cutaneous r...

Q. Which animals make cutaneous respiration? Adult amphibians and Terrestrial annelids make cutaneous respiration in amphibians there is also pulmonary respiration, the thin sk

What is the implant placement, What is the Implant Placement The failu...

What is the Implant Placement The failure to place an implant in the correct location in the buccolingual plane, mesiodistal plane and the inciso cervical plane results in the

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