Epidemics. A model for the spread of contagious diseases is obtained by assuming that the rate of spread is proportional to the number of contacts between infected and noninfected persons, who are assumed to move freely among each other. Set up the model. Find the equilibrium solutions and indicate their stability or instability. Solve the ODE. Find the limit of the proportion of infected persons as t→∞ and explain what it means.

Q: The population dynamics of many fish species (such as salmon) can be described by the Ricker curve:…

A: Solve by using condition of Maxima.

Q: intital population of 75,000. it grows at a constant rate of 1,000 per year for 9 years. find the…

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Q: (b) Find a linear model for the relation between boiling point B, and elevation H. (c) Use the model…

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Q: A baker will supply 17 jumbo cinnamon rolls to a cafe at a price of $3.91 each. If she is offered…

A: A baker will supply 17 jumbo cinnamon rolls to a cafe at a price of $3.91 each. She is offered…

Q: In the equation y = 8x + 3, this is an example of 1. A partial variation 2. A non linear relation…

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Q: Lines through state-space in the Lotka- Volterra model are called a. paired equilibrium densities b.…

A: The lines through state -space in lotka volterra model are called zero net growth isoclines.

Q: The cost function for a species of wild fish is estimated to be a function C(x) where x is the…

A: Given points (x,C)=(3,0.1458) and(x,C)=(9,0.2784) Since it is linear model Therefore…

Q: The biological relationship between the growth for the fish population and the size of the fish…

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Q: For butter pecan ice cream, the supply function is given byp = S(q) = 0.4q and the demand function…

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Q: 3.The population of birds in a region was measured to be 6300 birds in the year 2015, and 8700 birds…

A: 3. The population of birds in a region was measured to be 6300 birds in the year 2015,and 8700 birds…