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Solutions to the travelling wave equations that arise in the two-variable version of the Oregonator model for the Belousov–Zhabotinsky reaction are obtained for small values of the kinetic parameter ϵ using the method of matched asymptotic expansions (MAEs). Single-pulse solutions are...
In this paper, a periodic competitive system with delays and pulses is proposed. By using the comparison theorem for impulsive differential equations and the property of globally asymptotic stability of a periodic single-species growth population model with impulsive perturbations, sufficient...
The strong-property-fluctuation theory (SPFT) provides a general framework for estimating the constitutive parameters of a homogenized composite material (HCM). We developed the elastodynamic SPFT for orthotropic HCMs in order to undertake numerical studies. A specific choice of two-point...
A delayed Leslie–Gower predator–prey system is considered in this paper. It is assumed that the predator and the prey species have the same feedback delay to their growth. Using the delay as a bifurcation parameter, our results show that the positive equilibrium can only be asymptotically...
In this paper, travelling wave solutions are considered for two species diffusive and competition–cooperation systems with delays. The method is Schauder's fixed-point theorem and a new cross-iteration scheme for delayed reaction–diffusion systems with partial monotonicity.
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