A chemotaxis reaction–diffusion model for Multiple Sclerosis with Allee effect
نویسندگان
چکیده
Abstract In this paper, we study a modification of the mathematical model describing inflammation and demyelination patterns in brain caused by Multiple Sclerosis proposed Lombardo et al. (J Math Biol 75:373–417, 2017). particular, hypothesize minimal amount macrophages to be able start sustain inflammatory response. Thus, function for macrophage activation includes an Allee effect. We investigate emergence Turing combining linearised weakly nonlinear analysis, bifurcation diagrams numerical simulations, focusing on comparison with previous model.
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ژورنال
عنوان ژورنال: Ricerche Di Matematica
سال: 2023
ISSN: ['1827-3491', '0035-5038']
DOI: https://doi.org/10.1007/s11587-023-00806-9