Nowak project 1. Linear case: xis = (1 a„x„ - (qa, + dl)x, x„' = - (qa„ + daxo. y'. by- dy. Eigenvalue condition for the x equation: - _ 1g Gin?, 11,4 ( 4•4 .do) Note that X > 0 requires that pt • n q (cial:1 -41t) zI (1.2) The condition X> b-d is needed for growth faster than that of y. This condition reads n qak g q n >1 .fia2111.4.1 +(qak + (1.3) In the case when ak = a and dk = d is constant, then the condition in (1.1) asserts that 1 = a Ems, II with ri = qa(X + qa + d)'i. This is to say that ATI =MI -11) and so ri = 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 z* = 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 z* = I . a) Neutrality Martin suggests considering the case dk = d in which case the condition X = b- d reads I - q v rin qak — hdezi A M., NaL + b) ' (1.4) Martin claims that this condition is obeyed if a, = k b. In the latter case, the condition in (1.4) reads EFTA_R1_0 1997757 EFTA02682655