Uniqueness and stability of traveling wave fronts for an age-structured population model in a 2D lattice strip

Zhao, Hai-Qin; Weng, Paul; Liu, Sanyang

doi:10.1016/j.cnsns.2013.06.032

Cited by 4 publications

(1 citation statement)

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“…Owolabi has obtained a lot of results on the fractional reaction-diffusion system in biology. [21][22][23][24][25][26][27][28] In addition, there are many results about traveling waves in the age-structured population model with diffusion, we can see literature [29][30][31] in detail. However, the results of age-structured population models concerning spatial diffusion and advection simultaneously are rarely found.…”

Section: Introductionmentioning

confidence: 99%

Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model

Huo

Yuan

2022

Math Methods in App Sciences

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In this paper, we study an age-structured reaction-diffusion-advection population model. First, we use a non-densely defined operator to the linear age-structured reaction-diffusion-advection population model in a patchy environment. By spectral analysis, we obtain the asynchronous exponential growth of the population model. Then we consider nonlinear death rate and birth rate, which all depend on the function related to the generalized total population, and we prove the existence of a steady state of the system. Finally, we study the age-structured reaction-diffusion-advection population model in non-autonomous situations. We give the comparison principle and prove the eventual compactness of semiflow by using integrated semigroup. We also prove the existence of compact attractors under the periodic situation.

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