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

Define bioavailability of pyridoxine, Define Bioavailability of pyridoxine?...

Define Bioavailability of pyridoxine? A recent review by Gregory confirms that bioavailability of vitamin B 6 in a mixed  diet is about 7570, with approximately 8% of this tot

Gametogenesis - human development, Gametogenesis - Human Development G...

Gametogenesis - Human Development Gametogenesis as you are responsive is the process of formation and development of specialized reproductive cells, ova in females and sperms

Describe induced ventricular arrhythmias, Q. Describe Induced Ventricular A...

Q. Describe Induced Ventricular Arrhythmias? The prognostic significance of ventricular ectopy provoked by stress testing after an MI is controversial. Complex ventricular arrh

Define the term hot water blanching, Define the term Hot water blanching? ...

Define the term Hot water blanching? A appropriate water-blanching process in traditional processing is as follows: The sliced material is placed on a square piece of cl

How is carbon dioxide released by cellular respiration, Q. How is carbon di...

Q. How is carbon dioxide released by cellular respiration transported from the tissues to be eliminated through the lungs? In vertebrates almost 70% of the carbon dioxide is ca

Factors influencing rs content -amylose or amylopectiz ratio, Explain the F...

Explain the Factors Influencing RS Content -Amylose or Amylopectiz ratio? Amylose/Amylopectirz ratio: In general, foods containing high amylose/amylopectin ratio lead to higher

Explain the nutritional role of minerals in foods, Nutritional and function...

Nutritional and functional role of minerals in foods Essential elements including the main elements and a number of trace elements fulfill various functions: as electrolytes, a

Designer meat products, D e s ign e r Meat Products Designer/healt...

D e s ign e r Meat Products Designer/health meat products low in sodium, fat, calories could be produced by incorporating fat replacers, fibers and natural antioxidants an

Genetics , Genetics Genetics is the study of heredity. It is an ancien...

Genetics Genetics is the study of heredity. It is an ancient discipline. At least 4000 years ago, in Sumeria, Egypt and other parts of the world, farmers recognized that they

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