Population | Insight Maker

Insight Maker was utilized to demonstrate the relationship between Alienated Youth, police and Community Development. And the affect of Counselling can have on such youth. The Influence of activities was also depicted that can led to Criminal activities and Drug Abuse among such Youth. The model was made considering the youth within Burke.

Relationships
As can be seen that, the police enforcement plays a vital role, in the shaping the lives of youth. Hence, with the Increase in police force and increase in such initiates, the crime is like to decrease. Hence, the youth shall also be kept away from all of such interactions and such Acts.

Also, the Community Development shall also play a vital role, in two folds. First it shall play a part in shaping the very mindset of youth , to indulge in positive activities and refrain from illegal activities.
Second of all, it shall provide rehabilitation to youth that have been subjected to such crimes and such events.

Conclusion
It can be Concluded that, with increase in Police enforcement and Community Development, the overall crime can be reduced. The Youth thereupon will only indulge in positive activities.

Variables

There are two Variables involved in the model

1. Police Enforcement

It measures how effectively and efficiently police go about fulfilling its duties; Identifying potential criminals and stopping them from committing crime and punishing criminal who are guilty.

2. Community Development

Community development intervenes by changing the mindset of alienated and rehabilitated youth and hence affecting the flow towards Social Interactive Activities.

Adjusting Variables

Police enforcement can be adjusted using the slider given below. There is no choice given to adjust community development as it is affected by various factors of the society; education, culture, morals etc.

Assumptions

Youth engaged in Social Interactive Activities can never become alienated and hence will not go to drugs. In other words, a socially interactive youth member will be engaged in sports, education, gaming or café rather than drugs.

Youth are defined as ages 15-24, comprising of a population of 80. (ABS, 2016)

References

Australian Bureau of Statistics. (2016). General Community Profile. (Cat. No. 2001.0). https://quickstats.censusdata.abs.gov.au/census_services/getproduct/census/2016/communityprofile/LGA11150?opendocument

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Predator-prey models are the building masses of the bio-and environments as bio masses are become out of their asset masses. Species contend, advance and scatter essentially to look for assets to support their battle for their very presence. Contingent upon their particular settings of uses, they can take the types of asset resource-consumer, plant-herbivore, parasite-have, tumor cells- immune structure, vulnerable irresistible collaborations, and so on. They manage the general misfortune win connections and thus may have applications outside of biological systems. At the point when focused connections are painstakingly inspected, they are regularly in actuality a few types of predator-prey communication in simulation.

Looking at Lotka-Volterra Model:

The well known Italian mathematician Vito Volterra proposed a differential condition model to clarify the watched increment in predator fish in the Adriatic Sea during World War I. Simultaneously in the United States, the conditions contemplated by Volterra were determined freely by Alfred Lotka (1925) to portray a theoretical synthetic response wherein the concoction fixations waver. The Lotka-Volterra model is the least complex model of predator-prey communications. It depends on direct per capita development rates, which are composed as f=b−py and g=rx−d.

A detailed explanation of the parameters:

The parameter b is the development rate of species x (the prey) without communication with species y (the predators). Prey numbers are reduced by these collaborations: The per capita development rate diminishes (here directly) with expanding y, conceivably getting to be negative.
The parameter p estimates the effect of predation on x˙/x.
The parameter d is the death rate of species y without connection with species x.
The term rx means the net rate of development of the predator population in light of the size of the prey population.

Reference:

http://www.scholarpedia.org/article/Predator-prey_model

Lotka-Volterra Model: Prey-Predator Simulation

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$Adding change over time to relative risk, odds ratio and population attributable fraction epidemiology concepts see wikipedia and examples . Could also add deaths and competing risks$

Adding change over time to relative risk, odds ratio and population attributable fraction epidemiology concepts see wikipedia and examples .

Could also add deaths and competing risks

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Physical meaning of the equations

The Lotka–Volterra model makes a number of assumptions about the environment and evolution of the predator and prey populations:

1. The prey population finds ample food at all times.

2. The food supply of the predator population depends entirely on the size of the prey population.

3. The rate of change of population is proportional to its size.

4. During the process, the environment does not change in favour of one species and genetic adaptation is inconsequential.

5. Predators have limitless appetite.

As differential equations are used, the solution is deterministic and continuous. This, in turn, implies that the generations of both the predator and prey are continually overlapping.[23]

Prey

When multiplied out, the prey equation becomes

dx/dt = αx - βxy

The prey are assumed to have an unlimited food supply, and to reproduce exponentially unless subject to predation; this exponential growth is represented in the equation above by the term αx. The rate of predation upon the prey is assumed to be proportional to the rate at which the predators and the prey meet; this is represented above by βxy. If either x or y is zero then there can be no predation.

With these two terms the equation above can be interpreted as: the change in the prey's numbers is given by its own growth minus the rate at which it is preyed upon.

Predators

The predator equation becomes

dy/dt = -

In this equation, {\displaystyle \displaystyle \delta xy} represents the growth of the predator population. (Note the similarity to the predation rate; however, a different constant is used as the rate at which the predator population grows is not necessarily equal to the rate at which it consumes the prey). {\displaystyle \displaystyle \gamma y} represents the loss rate of the predators due to either natural death or emigration; it leads to an exponential decay in the absence of prey.

Hence the equation expresses the change in the predator population as growth fueled by the food supply, minus natural death.

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Population Models