The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to someâ€¦ (More)

Standard Runge-Kutta methods are explicit, one-step, and generally constant step-size numerical integrators for the solution of initial value problems. Such integration schemes of orders 3, 4, and 5â€¦ (More)

The study of max-type difference equations attracted recently a considerable attention, see, for example, 1â€“27 , and the references listed therein. This type of difference equations stems from, forâ€¦ (More)

Abstract: In this paper, we study the Nicholson-type delay systems with patch structure and nonlinear density-dependent mortality terms. Under appropriate conditions, we establish some criteria toâ€¦ (More)

l~(t) = r(t)N(t) a bkN(hk(t)) cz(t)N(gl(t)), t >_ O, l = l N(t )=~( t ) , t<O, N(O)=No, is considered. The existence and the bounds of positive solutions are studied. Sufficient conditions for theâ€¦ (More)

We introduce an integral-type operator, denoted by P Ï† , on the space of holomorphic functions on the unit ball B âŠ‚ C, which is an extension of the product of composition and integral operators onâ€¦ (More)