Entire solutions of the spruce budworm model

Abstract

This paper is concerned with the entire solutions of the spruce budworm model, i.e., solutions defined for all (x, t) ∈ R 2. Using the comparison argument and sub-super-solution method, three types of the entire solutions are obtained, and each one of them behaves like two traveling fronts that come from both sides of the real axis and mix.

Dynamic Analysis of a Model for Spruce Budworm Populations with Delay

“…As is well known, since the spruce budworm population site model [1] has been proposed and was accepted by numerous scholars, during the last decade, spruce budworm population models have been extensively investigated both in theory and applications, such as for protection of spruce trees and development of a strategy for spruce budworm population control [1][2][3][4][5][6][7][8][9][10][11][12][13]. For example, in [2], the authors considered the following standard structured partial differential model of the budworm population:…”