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 do you mean by systematic zoology, Q. What do you mean by Systematic Z...

Q. What do you mean by Systematic Zoology ? It contains articles on animals systematic, and papers dealing with cytological attributes of species and higher taxa, distribution p

Show the resolution products of a reciprocal recombination, Two homologous ...

Two homologous human chromosomes have the following structure: where the letters represent genetic markers and the black dot represents the centromere. 1. Diagram the two chromosom

Pre-procedural mouth rinse, Pre-procedural mouth rinse Patients' use of...

Pre-procedural mouth rinse Patients' use of a an anti-microbial mouthwash of 0.12% chlorhexidine gluconate solution for 30 seconds prior to intra-oral procedures will reduce th

Introduction to transgenic animals, Transgenic Animal Over the centurie...

Transgenic Animal Over the centuries, animals with new combinations of genes have been produced using conventional breeding methods by means of careful selection of particular

Explain about the dehydration or drying, Explain about the Dehydration or D...

Explain about the Dehydration or Drying? The technique of drying is the oldest method of food preservation practiced by mankind. The removal of moisture, which is actually dehy

How to follow a cell through the cell cycle, Follow a cell through the cell...

Follow a cell through the cell cycle. How many copies of each gene are present at each stage?

Arthropods - regeneration in invertebrates, Arthropods - Regeneration in In...

Arthropods - Regeneration in Invertebrates Among arthropods like insects, crustaceans, centipedes, scorpions and spiders, the capability of regeneration is low or not present.

Biotechmology, how to write a assignment on autoradiography

how to write a assignment on autoradiography

Expain kingdom fungi, Kingdom Fungi Fungi was earlier placed with the t...

Kingdom Fungi Fungi was earlier placed with the true plants and are still largely considered so in the domain of botanists yet they are quite different. They are multicellular

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