Geodesic
Threshold dynamics of an age–space structured brucellosis model with nonlinear incidence rate on a heterogeneous environment
Filomat, Tome 37 (2023) no. 4, p. 989

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DOI

We propose an age–space structured brucellosis model that includes diffusion with heterogeneous coefficients and a general nonlinear incidence rate. The renewal process is used to calculate the next generation operator, and the basic reproduction number R 0 is defined by the spectral radius of the next generation operator. We prove that R 0 governs the threshold dynamics of the brucellosis model: when R 0 1 the disease dies out, and when R 0 > 1 the disease persists.
DOI : 10.2298/FIL2304989A
Classification : 92D30, 35Q92
Keywords: Brucellosis, Reaction–diffusion, Basic reproduction number, Threshold dynamics, Heterogeneous coefficients 
Eric Avila-Vales; Angel G C Pérez. Threshold dynamics of an age–space structured brucellosis model with nonlinear incidence rate on a heterogeneous environment. Filomat, Tome 37 (2023) no. 4, p. 989 . doi: 10.2298/FIL2304989A
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     author = {Eric Avila-Vales and Angel G C P\'erez},
     title = {Threshold dynamics of an age{\textendash}space structured brucellosis model with nonlinear incidence rate on a heterogeneous environment},
     journal = {Filomat},
     pages = {989 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304989A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304989A/}
}
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