A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems

We propose a new method applying matrix theory to analyse the instability conditions of unique homogeneous coexistent state of multispecies host-parasitoid systems. We consider the eigenvalues of linearized operator of systems, and by dimensionality reduction, this infinite dimensional eigenproblem will be reduced to a parametrized finite dimensional eigenproblem, thereby applying combinatorial matrix theory to analyse the linear instability of such constant steady-state.

Preface: Special volume of Electronic Journal of Linear Algebra dedicated to Professor Ravindra B. Bapat

This special volume of the Electronic Journal of Linear Algebra is dedicated to Professor Ravindra B. Bapat on the occasion of his 60th birthday. The volume contains papers related to the International Conference on Linear Algebra & its Applications, which was held December 18--20, 2014 at the Department of Statistics of Manipal University in Manipal, India. The theme of conference focused on (i) Matrix Methods in Statistics, (ii) Combinatorial Matrix Theory and (iii) Classical Matrix Theory covering different aspects of Linear Algebra.