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

Water absorption and transpiration, Water Absorption and Transpiration ...

Water Absorption and Transpiration The rate of water absorption is controlled by the rate of transpiration. A high water potential in the atmosphere would reduce water loss fr

Define management of parkinson''s disease, Define Management of Parkinson...

Define Management of Parkinson's Disease - Drug, Feeding and Nutritional Care? There is no cure yet for Parkinson's disease, but its symptoms can be minimized with drug thera

Muscle cells, explain why it is essential that muscle cells, during anaerob...

explain why it is essential that muscle cells, during anaerobic respiration, convert pyruvic acid(pyruvate) into lactic acid, even though the conversion results in an accumulation

Explain what is enzymes, Explain what is Enzymes? Enzymes are organic...

Explain what is Enzymes? Enzymes are organic substances that speed up, or catalyze, a chemical reaction. At a given temperature, molecules have varying amounts of energy, and

Signs and symptoms of hypoglycaemia, Q. Signs and Symptoms of Hypoglycaemia...

Q. Signs and Symptoms of Hypoglycaemia? Let us now learn about signs and symptoms of hypoglycaemia. It is important for you know these because you can help the patient and fami

Theory of evolution and its rival theories try to solve, What is the proble...

What is the problem that the theory of evolution and its rival theories try to solve? The problem that the theory of simply evolution, or evolution, and its rival theories try

Cell biology, explain in detail the cell theory and it exceptions

explain in detail the cell theory and it exceptions

What are similarities between reptiles and birds, Q. What similarities do r...

Q. What similarities do reptiles and birds share regarding external coverage, reproduction and excretion? Regarding external coverage, birds are similar to reptiles as they pre

What do you mean by sampling?, Question 1 Explain the essential elements o...

Question 1 Explain the essential elements of Pharmaceutical Manufacturing Question 2 What is pharmacokinetics? Briefly describe the different pharmacokinetic processes that d

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