I have a set of several ODEs to describe the interaction between six bacteria and six phages (one for bacterium). Collectively, I have 18 equations with 7 parameters.
What is the approach to finding the values of the parameters that generate a “stable environment”? For instance, I can generate a stable environment with two bacteria and two phages, with cyclic but stable values:
Finding the values that generate such a conditions for 18 ODEs is a bit cumbersome. Is there a procedure to follow? (I am a biologist, not a computer scientist or a mathematician…)