Geodesic
Numerical study of the impact of directed migration of non-indigenous species on invasion scenarios
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 4, pp. 551-562

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A mathematical model of competition under conditions of biological invasion, written in the form of a system of nonlinear parabolic equations, is considered. The competition of two closely related species — resident and invader — is studied. The dynamics of populations in a heterogeneous area is determined by local interaction and diffusion. For the invader population, interspecific taxis and directed migration caused by heterogeneity of living conditions are taken into account. In computational experiments, sets of migration parameters corresponding to various invasion scenarios are determined. An analysis of the influence of initial distributions on competitive exclusion and coexistence of species is given.
Keywords: math modeling, population dynamics, nonlinear parabolic equations
Mots-clés : invasion, taxis 
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     author = {A. V. Budyanski},
     title = {Numerical study of the impact of directed migration of non-indigenous species on invasion scenarios},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {551--562},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2023_33_4_a0/}
}
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A. V. Budyanski. Numerical study of the impact of directed migration of non-indigenous species on invasion scenarios. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 4, pp. 551-562. http://geodesic.mathdoc.fr/item/VUU_2023_33_4_a0/