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 about the sterols - non glyceride fractions, Define About the Sterol...

Define About the Sterols - Non Glyceride Fractions? These constitule a major proportion of the non-glyceride component while tocopherols, carotene pigments and flavour compound

Why do leaves change color, Why do leaves change color? Leave is the fo...

Why do leaves change color? Leave is the food factories of plants. During the spring and summer, leaves are actively making food and they are filled with chlorophyll, which giv

How bone density affect osseointegration, Q. How Bone density affect osseoi...

Q. How Bone density affect osseointegration? The most important bone property is density which is influenced by factors such as patient age and genetics. Higher density bones h

Explain the techniques of operation in post myocardial, Explain the Techniq...

Explain the Techniques of Operation used in post myocardial infarction ventricular septal defect? Normal 0 false false false EN-IN X-NONE X-NONE

List host factor which play important role in implant, List host factor whi...

List host factor which play important role in implant survival. Host factors: a) Medical status of the patient b) Habits - Smoking - Parafunctional habits c) O

Mycotoxicoses, Mycotoxicoses Mycotoxicoses cause heavy economic loss d...

Mycotoxicoses Mycotoxicoses cause heavy economic loss due to high morbidity and consequent production loss. Low grade mortality is also recorded. The main toxins involved are

Explain in brief about the ciliary muscle, Explain in brief about the cilia...

Explain in brief about the ciliary muscle During accommodation the ciliary muscle contracts and in turn the size of the ciliary ring is reduced. This results in the suspensory

Mitosis, What is the role of mitosis in growth?

What is the role of mitosis in growth?

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