A virus infects by contact and is more contagious during winter. if you are first infected, you will remain infected for an unlimited time. In an isolated population with P persons (In this population no one dies or give birth to any), the infection rate at time (for months after 1/1 2020) is proportional to the product of: (1) the amount of people y(t) that are infected. (2) the amount that is no infected (3) a seasonal variation in infectiousness: 1+cos((pi/6) t) I need help to set up a differential equation for this problem

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.