\(\displaystyle \dot{x} = ax\left(1-\dfrac{x}{K}\right)-\dfrac{bxy}{1+Ax}\)

\(\displaystyle \dot{y} =cy \left(1-J\dfrac{y}{x}\right)\)

This system desciribes population growth of two species. This is quite similar to Lotka–Volterra equation modelling prey and predator population growth, but I am having hard time finding meaning for \(\displaystyle \dfrac{bxy}{1+Ax}\) as i have found only \(\displaystyle bxy\) in literature instead. What could be these species be and what does \(\displaystyle \dfrac{bxy}{1+Ax}\) stands for intuitevily?

My guess:

Well \(\displaystyle y\) stays there as it is.. proportional. So.. for big \(\displaystyle x\) it becomes close to \(\displaystyle \dfrac{by}{1+A}\).. meaning that predators can eat only limited amount?