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 understand by amphid, What do you Understand by Amphid? Uni...

What do you Understand by Amphid? Unique to the nematodes, these paired sensory structures are located on the sides of the head. An external pore leads to an inner chamber and

Biosynthesis of cholesterol, Animals are able to synthesize cholesterol de ...

Animals are able to synthesize cholesterol de novo by an elegant series of reactions in that all 27 carbon atoms of cholesterol are derived from acetyl CoA. The  acetate  units  ar

Fields in ecology, Ecology is divided into two fields:    (a)Autecology...

Ecology is divided into two fields:    (a)Autecology     (b) Synecology   (a)  Autecology: it deals with life history, population dynamics, behavior etc of a single

Nutrition, mode of nutrition in tapeworm

mode of nutrition in tapeworm

Symptoms of dyspepsia, Q. Symptoms of dyspepsia? The life style modific...

Q. Symptoms of dyspepsia? The life style modification in terms of work schedules, eating behaviour like consuming meals when extremely tired, quitting alcohol and smoking would

Osmotic function - essential elements, Osmotic Function - Essential Element...

Osmotic Function - Essential Elements Plant cells generally contain mineral ions 10 to 1000 times higher in concentration than the surrounding soil. That is why water enters t

How do birds reproduce, Q. How do birds reproduce? Birds like every ver...

Q. How do birds reproduce? Birds like every vertebrate have sexual reproduction. Their embryos develop within shelled eggs containing extraembryonic membranes and exterior the

What are age pyramids, What are age pyramids? Age pyramids are graphica...

What are age pyramids? Age pyramids are graphical representations in form of superposed rectangles every representing the number of individuals contained in age ranges into whi

Embryological evidences of evolution, EMBRYOLOGICAL EVIDENCES - A co...

EMBRYOLOGICAL EVIDENCES - A comparative study of embryology of different groups of animals reveals certain features that provide evidences for organic evolution. There ar

Specific considerations and applied aspects in dentistry, Specific consider...

Specific considerations and applied aspects in dentistry The dental chair and delivery system. The chair should be smooth and seamless. The greatest potential for cross contami

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