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

Mucopolysaccharides, MUCOPO L YSACCHARIDES They are heteropolysacc...

MUCOPO L YSACCHARIDES They are heteropolysaccharides of high molecular weight that are gelatinous is consistency, functioning in lubrication and as sticky substances in or

How to grow root hairs, How to grow root hairs Hairs can simply be seen...

How to grow root hairs Hairs can simply be seen on the roots of mustard seed grown on a damp flannel. Seeds placed on an earthenware dish standing in a soup plate having water

What are the main endocrine glands of the human body, What are the main end...

What are the main endocrine glands of the human body? The major endocrine glands of the human body are the pineal gland (or pineal body), the hypophysis (or pituitary), the thy

Zoonoses disease-monkey b virus disease, Monkey B virus disease The di...

Monkey B virus disease The disease is caused by Herpesvirus simiae or B virus, a member of the herpes group of viruses. The infection occurs naturally among primates of the ge

Explain the principle of development, Explain the Principle of Development ...

Explain the Principle of Development The final guiding principle is that assessment involves the measure of change, or development, across multiple levels of analysis. Developm

Define absorption, Define Absorption, transport and Excretion of phosphorus...

Define Absorption, transport and Excretion of phosphorus? As you have seen that food contains both organic and inorganic phosphorus, but most of it is absorbed in its inorganic

Explain chemical structure of saponins, Explain Chemical Structure of sapon...

Explain Chemical Structure of saponins? Let us briefly understand their chemical nature. Their structures are characterized by the presence of a steroid or triterpene group, i.

Which term explain lack of voluntary control of urination, In studies of hu...

In studies of human body, which of the following terms will be used to explain the lack of voluntary control of urination or voiding of bladder? Is it a) Anuria b) Incontine

Cell theory, why is cosmozoic theory considered to be true?

why is cosmozoic theory considered to be true?

What are blood stem cells, Q. What are blood stem cells? Stem cells are...

Q. What are blood stem cells? Stem cells are undifferentiated cells able to differentiate into other kinds of specialized cells. The stem cells of the bone marrow originate

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