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

Explain nature of fatty acids present in the triglyceride, Explain the Natu...

Explain the Nature of fatty acids present in the triglyceride? Nature of fatty acids present in the triglyceride determines the physico-chemical properties and biological signi

Disposal of microorganisms, Disposal : You must always sterilize cultures ...

Disposal : You must always sterilize cultures and contaminated instruments and glassware before disposing them of or before washing-up. Usually, you can do this by autoclaving or

What is motor neuropathy, What is Motor Neuropathy It leads to muscular...

What is Motor Neuropathy It leads to muscular weakness and wasting.  Muscle wasting leads to various foot deformities and abnormal pressure points develop due to loss of even p

Define the role of addition of acetyl groups to histones, Creb binding prot...

Creb binding protein (CBP) is a histone acetyl transferase (HAT) protein. What role does the  addition of acetyl groups to histones play during development? A. The addition of

Explain simple sugar, Simple sugars are monosaccharides consisting of a si...

Simple sugars are monosaccharides consisting of a single polyhydroxy aldehyde or ketone unit. Their general formula is (CH 2 0) n (n=3 to 7).

Describe the classification of life in diversity of life, Describe the Clas...

Describe the Classification of Life in diversity of life? There are at least 10 million different kinds of living organisms inhabiting Earth. Many different organisms have comm

Hemodynamic measurements of tricuspid stenosis, Q. Hemodynamic Measurements...

Q. Hemodynamic Measurements of tricuspid stenosis? Unless one suspects it clinically and echocardiographically, and plans the hemodynamic study - diagnosis of tricuspid stenosi

Explain basal metabolism rate (bmr) - ageing, Explain Basal Metabolism Rate...

Explain Basal Metabolism Rate (BMR) - Ageing? From age 25 years, the basal metabolism decreases by about 2 percent for each decade due to the increasing proportion of body fat

Aminoacyl-trna binding, In this 1st step, the corresponding  aminoacyl-tRN...

In this 1st step, the corresponding  aminoacyl-tRNA for  the  second  codon  binds  to  the  A  site  by  codon-anticodon interaction.  Binding  of  the  aminoacyl-tRNA needs  elon

Explain primary structure of proteins, Explain primary structure of protein...

Explain primary structure of proteins The primary structure of a protein having of the order in which amino acids are bonded to one another by a peptide bond.

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