Nowak project 1. Linear case: xi' = (1-q)E r., a„x„ - (qa, + di)x, xfig = - Olan + xn- y'= by -dy. Eigenvalue condition for the x equation: 1= Tf n qak nXi (qak + dk)) Note that X > 0 requires that v n. clak I q 1 I k=I (qak +4) (1.2) The condition A.> b-d is needed for growth faster than that of y. This condition reads I - q v clak > 1 . q 4d.ai rik=l(b-d+ Nak + dk (1.3) In the case when ak = a and dk = d is constant, then the condition in (1.1) asserts that 1 = La g En ,11 with n= qa(X + qa + d)". This is to say that 1-3— = -ri) and so n - q = q. Thus, X + qa+ d = 2qa and so X = (1 -q)a - d. Growth faster than the y-model requires (I -q)a > b which is maybe expected. Martins `system with food' on page 2 at equilibrium e = d/b gives the linear instability condition that is identical to (1.2) with the replacement q z*q. This understood, I will address the remaining questions on the bottom of page 2 with e = 1. a) Neutrality Martin suggests considering the case dk = d in which case the condition X = b- d reads v n . qak = iLinZi I (qak + b) ' (1.4) Martin claims that this condition is obeyed if ak = k b. In the latter case, the condition in (1.4) reads EFTA01113651