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 the growth charts of infant, Define the Growth Charts of Infant? ...

Define the Growth Charts of Infant? Besides identifying growth faltering, growth charts also provide the following information: 1) The growth is considered normal or satisfa

Hydrarch - ecology, Hydrarch - Ecology Its various stages are well stu...

Hydrarch - Ecology Its various stages are well studied in ecosystem like ponds, pools and lakes. Since pond is a fresh water ecosystem, the succession in it is also referred t

Explain the importance the relationship of structure, Explain the importanc...

Explain the importance of understanding the relationship between structure and function?

Describe splitting sequence of s2, Describe Splitting sequence of S 2 ? ...

Describe Splitting sequence of S 2 ? Even though the pulmonary valve closes at about 20 mm Hg and aortic valve at 100 mm Hg, the aortic closure occurs first as the impendence

Discuss the principle of osmolarity, These labs discuss the principle of os...

These labs discuss the principle of osmolarity, which is defined as the total number of solute particles in 1 L of solution. Is this the same thing as tonicity? Explain your answer

State three main ways in which the body uses food, State three main ways in...

State three main ways in which the body uses food. The body uses food (i) for energy, (ii) for growth (making new cells), (iii) repairing or replacing tissues.

Why are broad-spectrum antibiotics used to treat infections, Why are broad-...

Why are broad-spectrum antibiotics often used to treat infections caused by unidentified pathogens? What is the danger associated with overusing such antibiotics? As broad-spec

Define other consideration for dietary management, Define other considerati...

Define other consideration for Nutrient Requirement and Dietary Management Oral intake is generally feasible only during the anabolic phase wherein the patient should be given

What is the plasma membrane of the cell, Q. What is the plasma membrane of ...

Q. What is the plasma membrane of the cell? What are its major functions? The plasma membrane is the external membrane of the cell, it delimits the cell itself and a cell inter

Define the intracellular cyclic amp, Define the intracellular cyclic AMP ...

Define the intracellular cyclic AMP Healthy Person P takes a drug that makes a strong effect on the epithelial cells of the kidney collecting duct within one hour and lasts fo

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