Suppose that at a Pokemon daycare, a trainer drops off a Pokemon
that has the beneficial virus Pokerus, which allows Pokemon to
level up their stats more quickly. Let ́ x := x(t) denote the
number of Pokemon who are actively infected, let ́ r := r(t) denote
the number who are recovered (and no longer can transmit or
contract Pokerus), and let ́ N := N(t) denote the number of Pokemon
in the daycare at time ́ t, where t is measured in days. If the
rate at which Pokerus spreads is proportional to the number of
interactions ́ between the actively infected and
never-been-infected groups, write an initial value problem that
models the spread of Pokerus. (Make sure to include the ODE and the
initial value!)
7. (10 pts) Suppose that at a Pokémon daycare, a trainer drops off a Pokémon that has the beneficial virus Pokérus, which allows Pokémon to level up their stats more quickly. Let x := = x(t) denote the number of Pokémon who are actively infected, let r := = r(t) denote the number who are recovered (and no longer can transmit or contract Pokérus), and let N = N(t) denote the number of Pokémon in the daycare at time t, where t is measured in days. If the rate at which Pokérus spreads is proportional to the number of interactions between the actively infected and never-been-infected groups, write an initial value problem that models the spread of Pokérus. (Make sure to include the ODE and the initial value!)
Suppose that at a Pokemon daycare, a trainer drops off a Pokemon that has the beneficial virus Pokerus, which allows Pok
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