Oscillation in a discrete partial delay survival red blood cells model
In this paper, we shall consider the discrete partial delay survival red blood cells model P-m+1,P-n + P-m,P-n+1 - P-m,P-n = -deltaP(m,n) + qe(-aPm - sigma,n-tau), where P-m,P-n represents the number of the red blood cells at time m and site n, delta, a, and q are positive constants and sigma and tau are nonnegative integers. We shall show that (*) has a unique positive steady state P*, prove that every positive solution of (*) which does not oscillate about P* converges to P* as m, n --> infinity, and present necessary and sufficient conditions for oscillation of all positive solutions of (*) about P*. (C) 2003 Elsevier Science Ltd. All rights reserved.
oscillation discrete partial survival red blood cells model