Appendix II. Stability analysis on two plant model with logistic plant growth limitation (text equations 11 and 6).
To evaluate the equilibrium stability of the logistic plant growth limitation model, substitute the equilibrium values for s and n (equations 13 and 14) into the Jacobean matrix of partial derivatives. The resulting matrix is:
and the resulting eigenvalues will then be:
The real part of these eigenvalues will always be negative, because:
when bc>μ , a necessary condition for herbivore existence.