Logistic Population Growth: Definition, Factors, Chart, Examples, FAQ (2023)

Ölogistic growthThe model expects that every person within a population has equal access to assets and therefore equal opportunities for resilience. Yeast, a tiny organism, exhibits a time-honored calculated evolution when placed in a test tube. Its development levels off as the population consumes essential nutritional supplements for its development.

logistic growth

At the moment when wealth is limited, the population shows a strategic development as the population size decreases because wealth becomes scarce. Most physical or social development projects follow the usual and normal example of calculated development that can be drawn on an S-shaped curve. This includes modern development, the spread of gossip among the population, the distribution of wealth, etc. before y = k/(1 - ea+bx ), where b < 0 is the predictable portrait of the curve formed in s. This curve can help and dramatic models answer biological questions, such as predicting population growth.

Logistic Population Growth: Definition, Factors, Chart, Examples, FAQ (1)

Explanation of logistic growth

The strategic development of a population size occurs when assets are limited, establishing the most extreme number a climate can support.

Extraordinary development is conceivable when unlimited normal resources are free, which is not the case in reality. To show the truth about restricted goods, grassroots environmentalists promoted the calculated development model. As population size increases and assets become more constrained, intra-explicit competition ensues. People who are highly climate-adapted within a population compete for endurance. The population stabilizes as the climate transmission limit is approached.

The strategic model expects that every person within a population has equal access to assets and therefore equal opportunities for resilience. Yeast, a small parasite, exhibits old-style strategic development when placed in a test tube. Its development is stabilizing as the population consumes essential nutritional supplements for its development.

The equation used to calculate the calculated development adds the carry threshold as the driving force in the development rate. The proverb "K - N" corresponds to the number of individuals that can be added to a population at any given time, and "K - N" divided by "K" is the small part of the accessible transport limit for further development. Thus, the pending development model is constrained by this component to produce the computed development constraint:

(Video) 03.1 - The Logistic Model

Population growth: r N [1-(N/K)]

Factors influencing the carrying capacity

Carrying capacity describes the greatest diversity of people or species that can sustain the resources of a given environment indefinitely without degrading it. While there are minute factors that affect a chosen atmosphere - or environment - from time to time, four main factors affect the carrying capacity of the atmosphere.

food convenience

The practicality of food in any environment is paramount to a species' survival. Predators, carnivores, must be easy to catch. As long as their prey is conserved, they typically do not suffer from food stress. Herbivores, herbivores, have many difficult diets and can become stressed by starvation or lack of food. They first feed on their favorite foods and therefore the staple that satisfies their food cravings. With no other foods on the market, herbivores can subsist on emergency food that will fill them up but not maintain their weight.


Animals need water to digest food, control and regulate vital functions, and remove waste from the body. Typically, the larger the animal, the more water is needed to maintain the animal's organ systems. Where water becomes scarce, food can also become scarce as plants die, animals leave or die, and even the remaining animals will fight each other no matter how much water is left. Their bodies become weaker and less willing to resist disease or predators.

ecological conditions

Conditions within or adjacent to an atmosphere collectively affect its carrying capacity. For example, if atmosphere is found in a personality's population, it can affect its carrying capacity. Pollution can also affect {| have an impact on} the carrying capacity of an environment. A natural disaster such as a cyclone or flood also affects the ability of the AN atmosphere to support animal or plant populations. The lack of land to support crops or plants, due to erosion, geological processes or degradation, collectively affects its carrying capacity.


Animals want an area to protect themselves from bad conditions and provide an area for a copy. The comfortable range within the environment provides greater opportunities for the animals that inhabit it to seek adequate food and water. Unless it is an area, animals cannot secure an area to cover and raise their young or to nest. Animals also need quiet areas, even to play. Clemson University has specifically said that animals become stressed even though they are not in a comfortable environment, and stressed animals will not eat or drink enough to maintain an appropriate level of health. They don't multiply either.


Yeast, a microscopic plant used to make bread and alcoholic beverages, exhibits the classic curve that results when grown in a tube. Its growth levels out because the population consumes the nutrients from that unit area that are needed for its growth. however, within the world, its unit area varies from the current perfect curve. Examples of wild populations are sheep and seals. In each example, the population size exceeds carrying capacity for short periods of time and therefore falls below carrying capacity thereafter. These fluctuations in population size continue to occur as the population oscillates around its carrying capacity. But even with this fluctuation, the supply model is confirmed.

key points

  • In exponential growth, the growth rate per capita (per person) of a population remains the same regardless of population size, causing the population to grow.
    faster and faster because it gets bigger.
  • In nature, populations can grow exponentially by a small amount, but are limited by resource availability.
  • In supply growth, the per capita growth rate of a population decreases as population size approaches a value that is more constrained by limited resources in the environment, known as carrying capacity (K).
  • Exponential growth produces a J-shaped curve, while tentative growth produces an AN-shaped curve.

Examples of work on logistic growth

Example 1: Suppose a butterfly population grows as indicated by the calculated condition. If the transport limit is 1000 butterflies and r = 0.1 persons/(individual*month), what is the highest conceivable development rate for the population?

(Video) Population Growth Models [Exponential & Logistic Growth]


To solve this, you must first decide on N, the population size. From the plot of dN/dt versus N, we see that the highest conceivable rate of evolution for a population, calculated according to the strategic model, occurs when N = K/2, here N = 500 butterflies. Couple this with the strategic condition:

DN/dt = r N [1- (N/K)]

= 0,1(500)[1-(500/1000)]
= 25 people/month

Example 2: A fisheries scientist increases his catch by keeping a lake trout population at exactly 600 individuals. Anticipate the underlying instantaneous population growth rate by assuming the population is loaded with 600 additional fish. Expect r to be 0.005 person/(individual*day) for trout.


For the populations to meet the calculated condition, we know that the highest rate of population evolution occurs at K/2, so K must be 1000 fish for this population. Assuming the population is loaded with 600 additional fish, the total size is 1200. From the calculated condition, the underlying immediate evolution rate is:

DN/dt = r N [1- (N/K)]

(Video) Population Growth- The Logistic Model

= 0,005(1200)[1-(1200/1000)]
= -1.2 fish/day

Frequently asked questions about logistic growth

Question 1: What is the logistic growth of a population?


Logistic growth occurs when the rate of development of each head of a population decreases as population size approaches a resource-constrained extreme, the transport limit. One approaches the situation: the logistic development offers an S-shaped curve.

Question 2: Is logistic growth a mathematical equation?


Likewise, we can see the calculated evolution as a numerical condition. The speed of population change is estimated in the number of people in a population (N) after some time (t). The expression for the population growth rate is made up of (dN/dt). The d simply implies change. K addresses the transmission threshold and r is the most extreme per capita development rate of a population.

Question 3: What is the computational model of yeast development?

(Video) Population Growth Models- Exponential, Logistic... Explained!


The computed model expects that each person within a population has equal access to assets and thus equal chance of resilience. Yeast, a tiny parasite, exhibits old-fashioned calculated growth when placed in a test tube. Its development flattens out as the population consumes the nutritional supplements essential to its development.

Question 4: What is the status of the calculated curve?


A calculated development diagram is formed as S. If the population is small to begin with, the rate of development increases. At the point where the population approaches the transmission threshold, its rate of development begins to slow down. Finally, at the transmission limit, the population will never increase in size again in the long term.

Question 5: What are the subordinates of calculated development?


Like other differential conditions, calculated evolution has an obscure ability and at least one of that ability's subordinates. The standard differential condition is: r is the population rate of change.

(Video) Exponential vs Logistic Growth

my personal notesarrow_drop_up


1. Logistic Growth Function and Differential Equations
(The Organic Chemistry Tutor)
2. Exponential and logistic growth in populations | Ecology | Khan Academy
(Khan Academy)
3. Logistic Growth
(Bozeman Science)
4. 12th class // exponential growth // logistic growth model // chapter 13 organism and population
5. Logistic Growth
(Ryan Castle)
6. The Logistic Equation and Models for Population - Example 1, part 1
Top Articles
Latest Posts
Article information

Author: Amb. Frankie Simonis

Last Updated: 04/05/2023

Views: 5547

Rating: 4.6 / 5 (56 voted)

Reviews: 95% of readers found this page helpful

Author information

Name: Amb. Frankie Simonis

Birthday: 1998-02-19

Address: 64841 Delmar Isle, North Wiley, OR 74073

Phone: +17844167847676

Job: Forward IT Agent

Hobby: LARPing, Kitesurfing, Sewing, Digital arts, Sand art, Gardening, Dance

Introduction: My name is Amb. Frankie Simonis, I am a hilarious, enchanting, energetic, cooperative, innocent, cute, joyous person who loves writing and wants to share my knowledge and understanding with you.