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 iron overload and toxicity, What is Iron Overload and Toxicity? ...

What is Iron Overload and Toxicity? We have seen that absorption of iron is very effectively regulated. This prevents overload of the tissues with iron from diet/supplements in

Explain about the food product development, Explain about the Food product ...

Explain about the Food product development? Food product development is often commodity related. This type of research needs to be carried out in the pilot plants with the equi

What are the frequencies of the s, Platinum color in foxes is produced by h...

Platinum color in foxes is produced by heterozygous genotype Ss, and silver foxes are the genotype SS. The genotype ss is lethal, and the fox dies in early embryonic development. I

Disorders of thyroid function, Disorders of Thyroid Function: The diso...

Disorders of Thyroid Function: The disorders of thyroid function may  lead to following problems:  Juvenile Hypothyroidism Hypothyroidism is one of the most common end

Are coloured bodies composed of proteins and dna, Chromosomes, coloured bod...

Chromosomes, coloured bodies, are composed of proteins and DNA; so are chromatids. At metaphase I there are 46 chromosomesaligned in pairs along the human cells equatorial plate. A

Define isotope dilution method, Define Isotope Dilution Method? The mea...

Define Isotope Dilution Method? The measurement of total body water (TBW) is based on the principle of hydrometry. You must be aware that water is the most abundant substance i

Vitamins - digestion process, Vitamins differ from minerals in that vitamin...

Vitamins differ from minerals in that vitamins are compounds, and not elements. Vitamins do not help form bodily structures and thus are needed strictly in small quantities-sometim

Trisaccharides, TRISACCHARIDES The oligosaccharides are made of three m...

TRISACCHARIDES The oligosaccharides are made of three monosaccharide residues. A common trisaccharides is Raffinose which is formed by condensation of galactose-glucose-fr

Frog, why frog respire through skin

why frog respire through skin

What are the flat bones and the long bones, Q. What are the flat bones and ...

Q. What are the flat bones and the long bones? The main bones of the body may be classified as long or flat bones there are bones not classified into these categories. Instance

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