Stability of travelling wave solutions of diffusive predator-prey systems
Stability of travelling wave solutions of diffusive predator-prey systems
The stability of travelling wave solutions of singularly perturbed, diffusive predator-prey systems is proved by showing that the linearized operator about such a solution has no unstable spectrum and that the translation eigenvalue at<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="lamda equals 0"><mml:semantics><mml:mrow><mml:mi>λ</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:annotation encoding="application/x-tex">\lambda = 0</mml:annotation></mml:semantics></mml:math></inline-formula>is simple. The proof illustrates the application of some …