Numerical existence and stability of solutions to the distributed spruce budworm model

Al-Khalil, Hala; Brennan, Catherine; Decker, Robert J.; Demirkaya, Aslihan; Nagode, Jamie

doi:10.2140/involve.2017.10.857

Involve

2017

DOI: 10.2140/involve.2017.10.857

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Numerical existence and stability of solutions to the distributed spruce budworm model

Hala Al-Khalil

Catherine Brennan

Robert J. Decker

et al.

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Cited by 3 publications

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Spatial propagation in a delayed spruce budworm diffusive model

Huang,

2024

Math Methods in App Sciences

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We investigate the spatial propagation in a delayed spruce budworm diffusive model where and represent, respectively, the incubation and the maturation delays for the spruce budworm. We find the minimal wave speed to determine the existence of traveling wave fronts of the model. More specifically, the model admits traveling wave fronts when ; the model has no traveling wave solutions when . The proofs are based on combining the upper and lower solutions with the approach of Wu and Zou's theorems, the limit arguments, and Laplace transform. The obtained results help us to understand the spreading patterns and the spreading speed of spruce budworm population.

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Spatial propagation in a delayed spruce budworm diffusive model

Huang,

2024

Math Methods in App Sciences

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Reaction-diffusion modeling of the spread of spruce budworm in boreal ecosystem

Kabir

2020

J. Appl. Math. Comput.

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Periodic solutions and spatial patterns induced by mixed delays in a diffusive spruce budworm model with Holling II predation function

Tang

2022

Mathematics and Computers in Simulation

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Numerical existence and stability of solutions to the distributed spruce budworm model

Cited by 3 publications

References 5 publications

Spatial propagation in a delayed spruce budworm diffusive model

Spatial propagation in a delayed spruce budworm diffusive model

Reaction-diffusion modeling of the spread of spruce budworm in boreal ecosystem

Periodic solutions and spatial patterns induced by mixed delays in a diffusive spruce budworm model with Holling II predation function

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