Venturino, Ezio The usefulness of mathematics in agriculture, for the environment and in contrasting diseases: insights from a wide range of simple models. (English) Zbl 1542.92203 Commun. Appl. Ind. Math. 15, No. 1, 27-49 (2024). MSC: 92D40 92D25 92D30 92D45 × Cite Format Result Cite Review PDF Full Text: DOI
Calvez, Vincent; Hivert, Hélène; Yoldaş, Havva Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme. (English) Zbl 1518.65083 Numer. Math. 154, No. 1-2, 103-153 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 65M22 45D05 35F21 35B40 49L25 49M41 92D25 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yaming; Jiang, Ning; Liang, Jiangyan; Luo, Yi-Long; Tang, Min Pattern formation of a pathway-based diffusion model: linear stability analysis and an asymptotic preserving method. (English) Zbl 1515.35288 Multiscale Model. Simul. 21, No. 1, 349-373 (2023). MSC: 35Q92 35B40 65M06 92C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Emako, Casimir; Kanbar, Farah; Klingenberg, Christian; Tang, Min A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving. (English) Zbl 1476.65205 Kinet. Relat. Models 14, No. 5, 847-866 (2021). MSC: 65M08 35Q20 35Q92 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Martinez, Patrick; Vancostenoble, Judith Lipschitz stability for the growth rate coefficients in a nonlinear Fisher-KPP equation. (English) Zbl 1466.92154 Discrete Contin. Dyn. Syst., Ser. S 14, No. 2, 695-721 (2021). Reviewer: Yuming Chen (Waterloo) MSC: 92D25 92D40 35R30 35K55 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Aceves-Sanchez, P.; Degond, P.; Keaveny, E. E.; Manhart, A.; Merino-Aceituno, S.; Peurichard, D. Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation. (English) Zbl 1468.35208 Bull. Math. Biol. 82, No. 10, Paper No. 129, 38 p. (2020). MSC: 35Q92 82C05 82C22 82C70 92B25 92C15 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lo Grasso, Anna; Totaro, Silvia Analysis of a non-linear model of populations structured by size. (English) Zbl 1458.92066 Semigroup Forum 101, No. 3, 734-750 (2020). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 92D25 92D40 × Cite Format Result Cite Review PDF Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. (English) Zbl 1407.92027 Kinet. Relat. Models 12, No. 1, 195-216 (2019). MSC: 92C17 35Q20 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo A high order stochastic asymptotic preserving scheme for chemotaxis kinetic models with random inputs. (English) Zbl 1471.92062 Multiscale Model. Simul. 16, No. 4, 1884-1915 (2018). Reviewer: Stefanie Sonner (Nijmegen) MSC: 92C17 65C30 60H35 35K40 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ribot, Magali A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis. (English. French summary) Zbl 1448.65117 ESAIM, Proc. Surv. 61, 68-92 (2018). MSC: 65M06 35K40 35L60 92C17 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Bellouquid, Abdelghani; Chouhad, Nadia Kinetic models of chemotaxis towards the diffusive limit: asymptotic analysis. (English) Zbl 1342.35403 Math. Methods Appl. Sci. 39, No. 11, 3136-3151 (2016). MSC: 35Q92 92C17 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Jie Global solution for a kinetic chemotaxis model with internal dynamics and its fast adaptation limit. (English) Zbl 1329.35037 J. Differ. Equations 259, No. 11, 6432-6458 (2015). MSC: 35B25 35Q92 80A30 92C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rousset, Mathias; Samaey, Giovanni Simulating individual-based models of bacterial chemotaxis with asymptotic variance reduction. (English) Zbl 1291.35417 Math. Models Methods Appl. Sci. 23, No. 12, 2155-2191 (2013). MSC: 35Q92 92B05 65C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
James, F.; Vauchelet, N. Chemotaxis: from kinetic equations to aggregate dynamics. (English) Zbl 1270.35048 NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 1, 101-127 (2013). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B25 35D30 35L60 35Q92 92C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv