In which way does the lotkaâ€’volterra predatorâ€’prey model of population growth differ from the logistic model?

Biology

1 answer:

Vika [28.1K]3 years ago

6 0

<h2>Model of population</h2>

Explanation:

Logistic model

Logistic model is a growth model which is also called S shaped or sigmoidal growth model
This type of model mainly depends upon the carrying capacity of a given area and they invest their most energy in maintenance rather than reproduction
Logistic model is represented by :

$dN/dT=rN(K-N/K)$
where, r= reproductive rate; K= carrying capacity; N= initial population

Lotka Volterra model

It is the model which describes the prey predator relationship
Here it is expressed in the form of mathematical equations which helps in prediction of relationship between two species
For species 1, equation is represented as:

$dN1/dT1=r1N1(K1-N1-\alpha N2/K1)\\$
here, $\alpha$ is the inhibitory effect of species 2 on species 1; r1 is the intrinsic growth rate; N1 is initial population of species 1; K1 is the carrying capacity of species 1; N2 is the initial population of species 2
For species 2, equation is represented as:
$dN2/dT2=r2N2(K2-N2-\beta N1/K2)$
here, $\beta$ is the inhibitory effect of species 1 on species 2; r2 is the intrinsic growth rate of species 2; N2 is the initial population of species 2; K2 is the carrying capacity of species 2; N1 is the initial population of species 1
There are certain conditions which helps us to determine the relationship between two species:
If K2> K1/ $\alpha$ or K1> K2/ $\beta$ then there will be unstable coexistence between species 1 and species 2
If K2< K1/ $\alpha$ or K1< K2/ $\beta$ then there will be stable coexistence between species 1 and species 2

You might be interested in

You are studying with a classmate, who explains that increasing the amount of nutrients in a lake helps submerged, rooted aquati

Nataly_w [17]

Answer:

E-You disagree because the resulting increase in phytoplankton at the surface would inhibit sunlight from penetrating into the water, thus inhibiting photosynthesis in the submerged plants.

Explanation:

Eutrophication is the process wherein nutrients specifically phosphorus and nitrogen are present in excess in a water body such as a lake. The increased concentration of nutrients promoter the growth of cyanobacteria and algae such as phytoplankton.

The increased population of phytoplankton in surface water reduces the oxygen availability and clarity of water for the organisms present in deeper layers. Also, reduced clarity of water limits the amount of solar radiations penetrating the surface water to reach the deeper layers.

Increased nutrient levels of the lake would rather inhibit the growth of submerged plants due to reduced availability of sunlight as caused by presence of phytoplankton in surface water.

5 0

4 years ago

_________________________ , _____________________ ,__________________, and ___________________are the four tasks completed by th

Vika [28.1K]

Answer:

ingestion, propulsion, mechanical or physical digestion, chemical digestion, absorption, and defecation

6 0

3 years ago

Which of the following statements is true about Tiktaalik?

yawa3891 [41]

Tiktaalik is a transitional fossil which shows how fish evolved into amphibians and reptiles. So the correct option is B.

What is Tiktaalik?

Tiktaalik is a direct ancestor of tetrapods or four-legged animals. It is an extinct fish-like animal and it lived on earth 380-385 million years ago (Devonian period).

The word Tiktaalik is derived from the <em>Inuktitut</em> language which loosely translates to large freshwater fish. This animal had characteristics of both fish and tetrapod and is therefore called the link between these two kinds of animals.

The characters resembling fish are gills and scales and the characters resembling tetrapods are rib bones, movable neck and lungs. There are characters that are a mix of both tetrapods and fish. These are bones and joints in limbs but fish-like fins instead of feet or hands.