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

Assignment, Write short note onApplications of apical dominance in horticul...

Write short note onApplications of apical dominance in horticulture and agriculture

Bronchiectasis, Bronchiectasis: Bronchiectasis literally means abnorma...

Bronchiectasis: Bronchiectasis literally means abnormal dilation of bronchi. It is a chronic  inflammatory condition which is characterised  by permanent dilation of bronchi a

Organic substances - abiotic components, Organic Substances - Abiotic Compo...

Organic Substances - Abiotic Components These include carbohydrates, proteins, lipids and their derivatives which are derived from the waste products of plants and animals or

Name the mineral elements needed by bones, a) Name the mineral elements nee...

a) Name the mineral elements needed by (i) bones, (ii) red blood cells,  (iii) the thyroid gland b) Which of these elements is (i) present in milk, (b) lacking in milk?

What is crystallization of a virus, What is crystallization of a virus? Wha...

What is crystallization of a virus? What is the importance of this process? Crystallization is the method of transformation of viral components into organized solid particles.

Factors related to causing malnutrition among chd patients, Define Factors ...

Define Factors related to Causing Malnutrition among CHD Patients? The various factors related to causing malnutrition among CHD patients are hypoxia (reduction in oxygen suppl

Define the word glycemic, Glycemic or sugar control The control of bloo...

Glycemic or sugar control The control of blood sugar is one of the most important factors of good care for the diabetic patient. It has been shown that good glycemic or sugar c

Under which form is nitrogen fixed by living beings, Q. Under which form is...

Q. Under which form is nitrogen fixed by living beings? The Most living beings can't use molecular nitrogen to obtain nitrogen atoms. The Producers fix nitrogen primarily from

What is the health monitoring of infant, Explain the Health Monitoring of I...

Explain the Health Monitoring of Infant? Infections are a major cause of malnutrition in children. For many of the preventable early childhood diseases, vaccines are now avail

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