I'm learning about Lotka-Volterra's model for predation in nature, to be said, the classic example of foxes and rabbits on a island. I understand where does the expression come from, and after substituting the different parameters to solve a "pretended real example", I got the following expression. $$ \left\{ \begin{array}{rcl} P'(t) & = & 0.1P(t)\left(1-\frac{P(t)}{10000}\right)-0.005P(t)D(t) \\ P(0) & = & 2000 \\ D'(t) & = & 0.00004P(t)D(t)-0.04D(t) \\ D(0) & = & 10 \end{array} \right. $$
Here, $P(t)$ and $D(t)$ are the population of preys (rabbits) and predators (foxes) respectively at time $t$.
My problem is that I don't know how to solve this kind of equation. I studied differential equations time ago but I had never seen one like this, involving two different functions. I've seen there has been people asking questions about Lotka-Volterra also, but this one's different since I haven't found anyone including the term $\left(1-\frac{P(t)}{10000}\right)$ (this refers to the logistic aspect of rabbits population, since in my model I'm assuming the ecosystem has resources for a maximum of $10000$ rabbits at the same time, and leaves me with a NON LINEAR system of differential equations).
How can I solve this differential equation exactly? I'm interested in finding the exact expressions for $P(t)$ and $D(t)$ to plot them next, not in using numerical methods to find approximations. Any help will be appreciated, thanks in advance.