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

Natural control of population growth, N A TURA L CONTROL OF POPULATION G...

N A TURA L CONTROL OF POPULATION GROWTH - 1 .       Biotic potential - It is capacity of population to increase its number by reproduction. For all animals, it is v

Explain in details aerobic respiration, Explain in details Aerobic Respirat...

Explain in details Aerobic Respiration? The pyruvate produced in glycolysis is further broken down in most organisms. This process, called aerobic respiration, requires gaseou

State the term - functional neuroanatomy, State the term - Functional neuro...

State the term - Functional neuroanatomy Functional neuroanatomy focuses on the study of anatomy using psychological measures. One application of this kind of research is to he

Define objectives to know about methods of food processing, Define Objectiv...

Define Objectives to know about methods of food processing? After studying this unit, you will be able to: Enumerate the different methods of food processing Enlist

What is combination therapy, What is Combination therapy Combination th...

What is Combination therapy Combination therapy - Use of combination therapy for treatment of immunosuppressed patients with invasive aspergillosis (IA), which has a high morbi

Anthropodes, advantages of cuticle of anthropodes

advantages of cuticle of anthropodes

Can the heat capacity of water be considered small or large, Can the heat c...

Can the heat capacity of water be considered small or large? What is the biological significance of that characteristic? From thermology it is called that the quantity of exch

Explain about anterior superior alveolar nerve, Anterior superior alveolar ...

Anterior superior alveolar nerve It is a branch of infraorbital nerve which arises within the infraorbital canal. It gives a nasal branch which passes into nasal cavity to supp

Protoplasm, physical properties of protoplasm

physical properties of protoplasm

Define shell fish as a rich source of protein, Define Shell Fish as a rich ...

Define Shell Fish as a rich source of protein? Information on shellfish is fragmentary and incomplete. In shell fish, the shell comprises of a large portion of live weight of t

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