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

How does hypophysis- corpus luteum negative feedback work, Q. How does the ...

Q. How does the hypophysis- corpus luteum negative feedback work? What is the name given to the atrophied corpus luteum after this feedback process? After ovulation the estroge

Eyeball - sclerotic, SCLEROTI C - White of eye. Outer thick, made u...

SCLEROTI C - White of eye. Outer thick, made up of fibres connective tissue. Protective layer. Give definite shape. Its anterior 1/6 part is thin, transparent known as

Describe dna replication in details, Describe DNA replication in details? ...

Describe DNA replication in details? Replication :  DNA replicates itself by first breaking the hydrogen bonds between the nitrogen base pairs, and "unzips" itself into two s

Naegleria, is naegleria found in air

is naegleria found in air

What are the possible genotypes for its parents, Roan (RW) is a color of ca...

Roan (RW) is a color of cattle in which both red and white hairs are present due to codominance. What are the phenotype and genotype ratios of offspring produced by: roan bull and

Multipotent scs-pulp tissue revascularization, Multipotent SCs: are cells ...

Multipotent SCs: are cells differentiated & form a number of other tissues, while their sources are not fetal tissue; umblical cord blood & postnatal stem cells including dental p

Human reproduction, Why is the human placenta referred to as haemochorial t...

Why is the human placenta referred to as haemochorial type? Name the hormone it secretes to facilitate parturition.

What is the life cycle type of bryophytes, What is the life cycle type of b...

What is the life cycle type of bryophytes? As in all plants the life cycle of bryophytes is diplobiontic (alternation of generations). In bryophytes the lasting form is the hap

What is the difference among living and non-living things, What is the diff...

What is the difference among living and non-living things? Living things obtain and use energy. They also grow throughout their lifetime. Living this is made of cells. Living t

Invertebrate, classification of invertebrate

classification of invertebrate

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