Periodic solution and wave front solution for delay equation
Copyright policy )Periodic solution and wave front solution for delay equation
In the first part of the paper, the authors consider the delay differential equation \[ {dx\over dt}= f(x(t), x(t-\tau))\tag{\(*\)} \] with \(x\in\mathbb{R}^n\) and \(0 a> 0\), \(0<\tau\ll 1\) equation \((**)\) has a travelling wave connecting the equilibria \(u_0= 0\) and \(u_1= (b-a)/b\).
- Chinese Academy of Sciences China (People's Republic of)
- Academy of Mathematics and Systems Science China (People's Republic of)
- Beijing Normal University China (People's Republic of)
- Beijing Normal University China (People's Republic of)
inertial manifold, Partial functional-differential equations, periodic solution, Homoclinic and heteroclinic solutions to ordinary differential equations, wave front solution, host-vector disease model, Periodic solutions to functional-differential equations, Computer Science Applications, small delay, Modelling and Simulation, predator-prey system
inertial manifold, Partial functional-differential equations, periodic solution, Homoclinic and heteroclinic solutions to ordinary differential equations, wave front solution, host-vector disease model, Periodic solutions to functional-differential equations, Computer Science Applications, small delay, Modelling and Simulation, predator-prey system
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