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

Lysosomes, Lysosomes Lysosomes are small vesicles which are bounded ...

Lysosomes Lysosomes are small vesicles which are bounded by a single membrane & contain hydrolytic enzymes in the form of minute crystalline or semi crystalline granules of

Fate map - gastrulation in chick, Fate Map - Gastrulation in Chick All...

Fate Map - Gastrulation in Chick All the three main germinal layers (ectoderm, mesoderm, endoderm) are made from cells initially located in the epiblast in area pellucida, hen

Explain mental changes - clinical signs of kwashiorkor, Explain Mental chan...

Explain Mental changes - clinical signs of kwashiorkor? You would find a kwashiorkor child to be unusually apathetic with absolutely no interest in the surroundings. The child

Guess the number of different haploid cells, A diploid cell contains four p...

A diploid cell contains four pairs of homologous chromosomes designated C1 and C2, M1 and M2, S1 and S2, and W1 and W2. Predict the number of different haploid cells that could be

Define the management of epileptic patients, Define the Management of Epile...

Define the Management of Epileptic Patients? The primary treatment of epilepsy is anticonvulsant drugs. The focus of nutritional management is a diet, which is appropriate for

Mixed tricuspid stenosis and regurgitation , Mixed Tricuspid Stenosis and R...

Mixed Tricuspid Stenosis and Regurgitation:  Rheumatic involvement of the tricuspid valve is often seen in association with involvement of mitral and rarely aortic valve. Isolated

Three sources of energy which do not depend on fossil fuel, Name three sour...

Name three sources of energy which do not depend on fossil fuel. Sources of energy which do not rely on fossil fuel are water (hydroelectric generation), wind, tidal power, wav

Draw a diagram of transverse section of mammalian bone, Draw a diagram of t...

Draw a diagram of transverse section of mammalian bone and label the following parts in it: (i) Haversian canal (ii) Lacuna containing osteocytes (iii) Canaliculi

Explain micafungin sodium, Explain Micafungin sodium Micafungin sodium ...

Explain Micafungin sodium Micafungin sodium (Mycamine - Astellas), the second echinocandin antifungal1 to become available in the US, has been approved by the FDA for intraveno

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