In this study, we examine a competitive Nicholson blowflies model with time-varying coefficients and continuous time delays. the case of coincidence degree theory, constructing appropriate Lyapunov functionals using several inequalities, conditions on extinction, periodic solution, permanence, global attractiveness system are derived. Finally, three examples numerical simulations presented to v...

We studied a host-parasite model qualitatively. The host-parasitoid is obtained by modifying the Nicholson-Bailey so that number of hosts parasitoids can't attack fixed. Topological classification equilibria achieved with implementation linearization. Furthermore, Neimark-Sacker bifurcation explored using theory normal forms at interior steady-state. in controlled implementing two control strat...

There is an increasing recognition that the influence of extreme climate events (ECE) can be more significant in structuring ecosystem dynamics than the gradual effects of climate change. Still, our understanding of the effects of climate extremes on ecosystem services such as marine fisheries lags behind those of effects of gradual change. The significance of ECEs depends on the severity of th...

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 1990 , the specialty car company Middlebridge Scimitar Ltd contracted with the vintage car collector Edward Hubbard to buy the Bentley racing car known as Old Number One from him. Middlebridge agreed to pay Hubbard ten million pounds in cash and company assets. The price was so high because Old Number One was the most famous racing car in British history, dating from a period when motor raci...

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.