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

Pain - criteria for endosteal implants, Q. Pain - criteria for endosteal im...

Q. Pain - criteria for endosteal implants? Pain and tenderness are subjective criteria and depend on patient's  interpretation of the degree of discomfort. Pain is defined as u

Assessment of megaloblastic anaemia, Assessment   On observation of a c...

Assessment   On observation of a child with this type of anaemia you will find that in addition to the symptoms  of iron deficiency anaemia there is hyper-pigmentation over knu

Why is blood important for larger animals, Q What is the alternative means ...

Q What is the alternative means for transport of substances in animals without a circulatory system? Why is blood important for larger animals? In animals that don't present th

State the prevention of flap dehiscence, Prevention of flap dehiscence ...

Prevention of flap dehiscence Flap margin dehiscence (separation) is prevented by approximating the edges of the flap over healthy bone by handling the edges of the flap gently

Fibre requirements for ulcerative colitis, Q. Fibre requirements for ulcera...

Q. Fibre requirements for ulcerative colitis? Fibre: Eliminating roughage seems to have a better effect on preventing relapses of the disease. A low residue diet may be given d

Supra vulvar aortic stenosis, Supra Vulvar Aortic Stenosis :  Supra v...

Supra Vulvar Aortic Stenosis :  Supra valvar aortic stenosis in children with elfin facies, mental retardation, multiple peripheral pulmonary artery stenosis and hyper calcem

Sub xyphoid pericardial window -types of surgery, Sub Xyphoid Pericardial W...

Sub Xyphoid Pericardial Window :  It could be done under local or general anaesthesia. A small vertical midline incision is made over the xyphoid process on to the linea alba

Excretory system - kidney, Kidney - 2 in number. Dark red. Sl...

Kidney - 2 in number. Dark red. Slightly flattened. Bean shaped. 10 cm. long, 5 cm wide and 4 cm thick (In rabbit 20-25 mm). Weighing 150 gm in male 135 gm in fema

Define the glucose tolerance test, Q. Define the Glucose Tolerance Test? ...

Q. Define the Glucose Tolerance Test? In Glucose Tolerance Test (GTT) if the blood sample is to be taken in the morning, patient is advised to follow fasting instructions i.e.

Epigenetics, how does epigenetic controls transcription?

how does epigenetic controls transcription?

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