A theory is provided for the problem of passenger waiting and route choice at a transit station where a set of lines serviced by vehicles of limited capacity are available to reach a given destination. It is assumed that the platform layout involves one boarding zone only. The theory addresses waiting discipline – either priority queuing or mingled waiting – and choice behaviour – either selfis...

The objective of this paper is to systematically study the qualitative properties of the solutions of the discrete nonlinear delay survival red blood cells model x(n+ 1)− x(n)=− (n)x(n)+ p(n)e−q(n)x(n− , n= 1, 2, . . . , where (n), p(n) and q(n) are positive periodic sequences of period . First, by using the continuation theorem in coincidence degree theory, we prove that the equation has a pos...

Pratylenchus penetrans and Ditylenchus dipsaci were reared at 15-16 C, and their behavior towards single and combined heat and CO stimuli was studied at ambient temperatures of 8.6 and 27.3 C. At the lower temperature, attractivity of the heat source was prevalent in both species, but CO was also attractive. At the higher ambient temperature (27.3 C), the reaction to CO was more positive and mo...

Some new weakly singular integral inequalities are established by a method, which generalize some results of this type in previous papers. By these inequalities, we present the attractivity solutions for Riemann–Liouville fractional differential equations. Finally, several examples given to illustrate our main results.

We analyze the growth models for complex networks including preferential attachment (A.-L. Barabasi and R. Albert, Science 286, 509 (1999)) and fitness model (Caldarelli et al., Phys. Rev. Lett. 89, 258702 (2002)) and demonstrate that, under very general conditions, these two models yield the same dynamic equation of network growth, dK dt = A(t)(K +K0), where A(t) is the aging constant, K is th...