for parameters c0, ..., c3. By choosing the parameters appropriately, all the assumptions in the physical model can be realized and the mathematical model will be able to predict the population at any time t by solving the mathematical system.
A mathematical model describes the physical model in quantitative terms, it is the theoretical description of the system. For example, the population of rabbits r(t) and foxes f(t) at time t could be described as
for parameters c0, ..., c3.
By choosing the parameters appropriately, all the assumptions in the physical
model can be realized and the mathematical model will be able to predict the
population at any time t by solving the mathematical system.
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