In this paper, Crank-Nicholson method for solving fractional wave equation is considered. The stability and consistency of the method are discussed by means of Greschgorin theorem and using the stability matrix analysis. Numerical solutions of some wave fractional partial differential equation models are presented. The results obtained are compared to exact solutions.

In this paper, we obtain sufficient conditions for the permanence of a family nonautonomous systems delay differential equations. This includes structured models from mathematical biology, with either discrete or distributed delays in both linear and nonlinear terms, where typically terms are nonmonotone. Applications to generalized Nicholson Mackey-Glass given.

Disagreement exists on the taxonomic identity of extant populations Australian Elseya referred to in 1992 as gulf (= sp. aff. dentata [Nicholson]). The form has since 1997 been considered conspecific with late Pleistocene fossil lavarackorum (White and Archer, 1994). Recently it a new species, oneiros Joseph-Ouni et al., 2020, another found same site stratum . Here we re-examine material reasse...

The existence of a global attractor is proved for the skew-product semiflow induced by almost periodic Nicholson systems and new conditions are given unique positive solution which exponentially attracts every other solution. Besides, some numerical simulations included to illustrate our results in concrete systems.

AVICULTURALISTS and bird fanciers have long used the term "recording" to denote the quiet "practice-like" singing so often heard from their pet birds before they come into the phase of true song. It has often been asserted that the instrument known as the Recorder originally took its name from the bird flageolet which was used by bird fanciers for teaching tunes to Canaries (Serinus canarius), ...