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

Requirements of glutamine in diverticular disease, Q. Requirements of Gluta...

Q. Requirements of Glutamine in diverticular disease? Glutamine: Wile specific nutrients that may have an impact on diverticula disease have not been studied as thoroughly as t

Biochemical and metabolic problems and their management, Define Biochemical...

Define Biochemical and Metabolic Problems and their Management? Hypokalaemia (low concentration of potassium ion in the blood), we learnt earlier, is a problem caused due to se

Which chemical causes tooth destruction, The bacteria that cause dental cav...

The bacteria that cause dental cavities in humans break down sugars, releasing what chemical which causes tooth destruction? a) Acids b) Bases c) Enzymes d) Monosaccha

Determine the food sources of manganese, Determine the Food Sources of Mang...

Determine the Food Sources of Manganese? The food sources of manganese along with their content are tabulated in Table. Here, you can see that whole cereals, nuts, leafy vegeta

Altered fat metabolism - metabolic response to injury, Altered Fat Metaboli...

Altered Fat Metabolism - Metabolic Response to Injury? The stored fat deposiis are mobilized and oxidized at a high rate in order to support hyper metabolism and increased gluc

Fossil history of horse, Evolution of Horse - Credit to Prof. C. Marsh...

Evolution of Horse - Credit to Prof. C. Marsh (1879) of Yale University for complete work.   S.No   Fo ssil/Genus   Period

What are organic chemical groups that divide carbohydrates, What are the or...

What are the organic chemical groups that characterize carbohydrates? How are carbohydrates classified according to the presence of those groups? Carbohydrates are also called

Why meat and poultry are important for human body, Why Meat and Poultry are...

Why Meat and Poultry are important for human body? Meat and poultry are rich sources of proteins of high biological value. They do not contain carbohydrates. All

Define the disturbances in fluid balance, Define the Disturbances in Fluid ...

Define the Disturbances in Fluid Balance? The correct functioning of cells and tissues depends on appropriate concentrations of nutrients; so any abnormal loss or accumulation

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