Belhadji, Lamia; Lanchier, Nicolas; Mercer, Max The contact process with an asymptomatic state. (English) Zbl 07923184 Stochastic Processes Appl. 176, Article ID 104417, 16 p. (2024). MSC: 60K35 60J80 92D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Comets, Francis; Menshikov, Mikhail; Volkov, Stanislav Generalizations of forest fires with ignition at the origin. (English) Zbl 1516.60056 J. Appl. Probab. 60, No. 2, 418-434 (2023). MSC: 60K35 82C43 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González-López, Ricardo; Gómez, Javier B.; Pacheco, Amalio F. A minimal agent-based model for the size-frequency distribution of firms. (English) Zbl 07843117 Adv. Complex Syst. 23, No. 1, Article ID 2050002, 27 p. (2020). MSC: 91-XX × Cite Format Result Cite Review PDF Full Text: DOI
Foxall, Eric; Lanchier, Nicolas Generalized stacked contact process with variable host fitness. (English) Zbl 1435.60059 J. Appl. Probab. 57, No. 1, 97-121 (2020). MSC: 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baranovskiy, Nikolay V. Mathematical simulation of anthropogenic load from a linear source using partial differential equations in the context of the forest fires occurrence. (English) Zbl 1427.80020 Adv. Differ. Equ. Control Process. 19, No. 3, 237-262 (2018). MSC: 80A25 × Cite Format Result Cite Review PDF Full Text: DOI
Leri, Marina M. Forest fire model on configuration graphs with random node degree distribution. (English) Zbl 1424.05271 PLISKA, Stud. Math. 27, 47-54 (2017). Reviewer: Eugenia Stoimenova MSC: 05C80 62G35 05C82 × Cite Format Result Cite Review PDF Full Text: Link
Graf, Robert Self-destructive percolation as a limit of forest-fire models on regular rooted trees. (English) Zbl 1352.05048 Random Struct. Algorithms 50, No. 1, 86-113 (2017). MSC: 05C05 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leri, Marina; Pavlov, Yuri Forest fire models on configuration random graphs. (English) Zbl 1367.05195 Fundam. Inform. 145, No. 3, 313-322 (2016). MSC: 05C80 05C81 × Cite Format Result Cite Review PDF Full Text: DOI
Graf, Robert Critical heights of destruction for a forest-fire model on the half-plane. (English) Zbl 1336.60188 Electron. Commun. Probab. 21, Paper No. 39, 10 p. (2016). MSC: 60K35 82C22 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Baranovskiy, N. V. Algorithms for parallelizing a mathematical model of forest fires on supercomputers and theoretical estimates for the efficiency of parallel programs. (English. Russian original) Zbl 1327.68326 Cybern. Syst. Anal. 51, No. 3, 471-480 (2015); translation from Kibern. Sist. Anal. 2015, No. 3, 167-177 (2015). MSC: 68W10 93A30 × Cite Format Result Cite Review PDF Full Text: DOI
Eiselt, H. A. (ed.); Marianov, Vladimir (ed.) Applications of location analysis. (English) Zbl 1351.90115 International Series in Operations Research & Management Science 232. Cham: Springer (ISBN 978-3-319-20281-5/hbk; 978-3-319-20282-2/ebook). xiii, 437 p. (2015). Reviewer: Frank Plastria (Brussels) MSC: 90B80 90B85 90-01 90-02 90B90 00B15 × Cite Format Result Cite Review PDF Full Text: DOI
Bressaud, Xavier; Fournier, Nicolas A mean-field forest-fire model. (English) Zbl 1304.82008 ALEA, Lat. Am. J. Probab. Math. Stat. 11, No. 2, 589-614 (2014). MSC: 82B05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mitsudo, Tetsuya System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site. (English) Zbl 1291.82062 J. Phys. A, Math. Theor. 47, No. 14, Article ID 145001, 10 p. (2014). MSC: 82C05 82C31 80A25 60F10 86A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graf, Robert A forest-fire model on the upper half-plane. (English) Zbl 1291.82037 Electron. J. Probab. 19, Paper No. 8, 27 p. (2014). MSC: 82B26 82B27 60K35 82C22 82B43 × Cite Format Result Cite Review PDF Full Text: DOI
Bressaud, Xavier; Fournier, Nicolas One-dimensional general forest fire processes. (English) Zbl 1297.60063 Mém. Soc. Math. Fr., Nouv. Sér. 132, i-vi, 1-138 (2013). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 60K35 92D40 × Cite Format Result Cite Review PDF Full Text: arXiv
Barovik, D.; Taranchuk, V. Mathematical modelling of running crown forest fires. (English) Zbl 1206.80020 Math. Model. Anal. 15, No. 2, 161-174 (2010). Reviewer: Alain Brillard (Riedisheim) MSC: 80A25 80A32 76T30 65N06 80M20 × Cite Format Result Cite Review PDF Full Text: DOI
Bressaud, Xavier; Fournier, Nicolas Asymptotics of one-dimensional forest fire processes. (English) Zbl 1205.60167 Ann. Probab. 38, No. 5, 1783-1816 (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 82C22 82C31 82C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Volkov, Stanislav Forest fires on \(\mathbb Z_{+}\) with ignition only at 0. (English) Zbl 1276.60060 ALEA, Lat. Am. J. Probab. Math. Stat. 6, 399-414 (2009). MSC: 60G55 60K35 60F05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Perminov, Valeriy Mathematical model of large forest fire initiation. (English) Zbl 1240.80006 Sci. Stud. Res., Ser. Math. Inform. 19, No. 2, 365-374 (2009). MSC: 80A25 × Cite Format Result Cite Review PDF
Rath, Balazs; Toth, Balint Erdős-Renyi random graphs \(+\) forest fires \(=\) self-organized criticality. (English) Zbl 1197.60093 Electron. J. Probab. 14, 1290-1327 (2009). MSC: 60K35 82C27 05C80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Bressaud, Xavier; Fournier, Nicolas On the invariant distribution of a one-dimensional avalanche process. (English) Zbl 1171.60022 Ann. Probab. 37, No. 1, 48-77 (2009). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bizzarri, Federico; Storace, Marco; Colombo, Alessandro Bifurcation analysis of an impact model for forest fire prediction. (English) Zbl 1165.34360 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 8, 2275-2288 (2008). MSC: 34C60 34C23 34A36 37E05 37G99 × Cite Format Result Cite Review PDF Full Text: DOI
Duerre, Maximilian Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models. (English) Zbl 1130.60091 Electron. Commun. Probab. 11, 304-315 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 60K35 82C20 82C22 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
van den Berg, J.; Brouwer, R. Self-organized forest-fires near the critical time. (English) Zbl 1111.60080 Commun. Math. Phys. 267, No. 1, 265-277 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 60K35 82C43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dercole, Fabio; Maggi, Stefano Detection and continuation of a border collision bifurcation in a forest fire model. (English) Zbl 1073.92052 Appl. Math. Comput. 168, No. 1, 623-635 (2005). MSC: 92D40 37N25 34C23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lanchier, Nicolas Phase transitions and duality properties of a successional model. (English) Zbl 1064.60197 Adv. Appl. Probab. 37, No. 1, 265-278 (2005). MSC: 60K35 82B26 × Cite Format Result Cite Review PDF Full Text: DOI
Schenk, Klaus; Drossel, Barbara; Schwabl, Franz Self-organized criticality in forest-fire models. (English) Zbl 1046.82031 Hoffmann, Karl-Heinz (ed.) et al., Computational statistical physics. From billiards to Monte Carlo. Berlin: Springer (ISBN 3-540-42160-2). 127-140 (2002). MSC: 82C43 82C27 82C26 × Cite Format Result Cite Review PDF
Camelo-Neto, G.; Coutinho, S. Dynamical model for virus spread. (English) Zbl 0862.92017 Fractals 4, No. 2, 113-122 (1996). MSC: 92C60 60K35 60K99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tryfonopoulos, D.; Papadopoulos, C.; Croba, D.; Lalas, D. Thermal convective and radiative effects in forest fires simulation. (English) Zbl 0880.76078 Heat Technol. 13, No. 2, 141-154 (1995). Reviewer: H.S.Takhar (Manchester) MSC: 76R10 76M25 86A10 80A20 92D40 × Cite Format Result Cite Review PDF
Puppin Macedo, Antonini; Brasil, Antonio C. P. jun. A coupled Monte Carlo/explicit Euler method for the numerical simulation of a forest fire spreading model. (English) Zbl 0831.65145 Niederreiter, Harald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods in scientific computing. Proceedings of a conference at the University of Nevada, Las Vegas, Nevada, USA, June 23-25, 1994. Berlin: Springer-Verlag. Lect. Notes Stat., Springer- Verlag. 106, 333-345 (1995). MSC: 65R20 65C05 45K05 80A25 92E20 × Cite Format Result Cite Review PDF
Johansen, Anders Spatio-temporal self-organization in a model of disease spreading. (English) Zbl 0812.60102 Physica D 78, No. 3-4, 186-193 (1994). MSC: 60K99 × Cite Format Result Cite Review PDF Full Text: DOI
Mader, Charles L. Numerical modeling of detonations. (English) Zbl 0646.73018 Los Alamos Series in Basic and Applied Sciences. Berkeley - Los Angeles - London: University of California Press. X, 485 p. (1979). MSC: 74J99 74M20 76L05 74-02 76M99 74S99 74-05 76-05 × Cite Format Result Cite Review PDF