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Showing posts from July 8, 2023

ASPCA Income and Expenses (2019)

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The ASPCA received $280 million in donations in 2019 . Of that, 76.9% went to programs, 19.2% went to fundraising, and 3.9% went to administrative costs. The ASPCA's CEO, Matt Bershadker, received $840,000 in total compensation in 2019. Here is a breakdown of some of the ASPCA's expenses in 2019 included: Fundraising expenses: $53.8 million (19.2%) Direct mail: $22.6 million Telemarketing: $13.8 million Digital fundraising: $9.4 million Other fundraising: $8 million Administrative expenses: $10.7 million (3.9%) General and administrative: $8.4 million Travel and conference expenses: $1.8 million Legal and accounting fees: $0.5 million The ASPCA's fundraising expenses are slightly higher than average for animal welfare organizations. However, its administrative expenses are lower than average. This is because the ASPCA has a relatively small staff and relies on volunteers for many of its operations. The ASPCA's CEO, Matt Bershadker, received $840,000 in total compensati...

The Lotka–Volterra predator–prey model

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The Lotka–Volterra predator–prey model is a pair of first-order nonlinear differential equations that describe the dynamics of two interacting populations, one a predator and the other its prey. The equations are: x' = ax - bxy y' = dy - cyx   where: x is the population of the prey y is the population of the predator a and b are positive constants that represent the intrinsic growth rate of the prey and the rate at which the predator kills the prey, respectively d and c are positive constants that represent the intrinsic death rate of the predator and the rate at which the predator reproduces, respectively The equations can be interpreted as follows: The first equation states that the rate of change of the prey population is proportional to its size, but is decreased by the rate at which the predators kill the prey. The second equation states that the rate of change of the predator population is proportional to the number of prey it kills, b...