Tang, Yue; Ahn, Inkyung; Lin, Zhigui The SEIR model with pulse and diffusion of virus in the environment. (English) Zbl 07921278 J. Appl. Anal. Comput. 13, No. 6, 3606-3631 (2023). MSC: 35K55 35K57 35R35 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Jingan; Ma, Xinchen; Wu, Yucui Meta-population model and vaccination strategy based on population heterogeneity. (Chinese. English summary) Zbl 1549.92039 Acta Math. Appl. Sin. 46, No. 4, 549-564 (2023). MSC: 92C60 35A24 × Cite Format Result Cite Review PDF Full Text: Link
Baranovsky, S. V.; Bomba, A. Ya. Generalizing the infectious disease model taking into account diffusion perturbations, logistic dynamics, and biostimulation. (English. Ukrainian original) Zbl 1514.92110 Cybern. Syst. Anal. 59, No. 1, 134-145 (2023); translation from Kibern. Sist. Anal. 59, No. 1, 156-168 (2023). MSC: 92D30 35B25 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Fulian; Pan, Yanyan; Tang, Xinyi; Wu, Chang; Jin, Zhen; Wu, Jianhong An information propagation network dynamic considering multi-platform influences. (English) Zbl 1497.91248 Appl. Math. Lett. 133, Article ID 108231, 9 p. (2022). MSC: 91D30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Bo; Zhai, Lu; Bintz, Jason; Lenhart, Suzanne M.; Valega-Mackenzie, Wencel; David Van Dyken, J. The optimal controlling strategy on a dispersing population in a two-patch system: experimental and theoretical perspectives. (English) Zbl 1470.92391 J. Theor. Biol. 528, Article ID 110835, 8 p. (2021). MSC: 92D40 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Macías-Díaz, Jorge E.; Ahmed, Nauman; Jawaz, Muhammad; Rafiq, Muhammad; Rehman, Muhammad Aziz Ur Design and analysis of a discrete method for a time-delayed reaction-diffusion epidemic model. (English) Zbl 1485.92143 Math. Methods Appl. Sci. 44, No. 6, 5110-5122 (2021). Reviewer: Jia-Bing Wang (Wuhan) MSC: 92D30 35K57 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Sooknanan, Joanna; Mays, Nicholas Harnessing social media in the modelling of pandemics – challenges and opportunities. (English) Zbl 1466.92208 Bull. Math. Biol. 83, No. 5, Paper No. 57, 11 p. (2021). Reviewer: Yilun Shang (Newcastle) MSC: 92D30 91D30 × Cite Format Result Cite Review PDF Full Text: DOI
McGahan, Ian; Powell, James; Spencer, Elizabeth 28 models later: model competition and the zombie apocalypse. (English) Zbl 1460.92212 Bull. Math. Biol. 83, No. 3, Paper No. 22, 33 p. (2021). MSC: 92D30 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Tao; Meng, Xinzhu; Zhang, Tonghua; Qiu, Zhipeng Analysis of the predator-prey interactions: a stochastic model incorporating disease invasion. (English) Zbl 1437.34058 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 55, 20 p. (2020). MSC: 34C60 92D25 34F05 34D05 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Dondè, Tobia Uniform persistence in a prey-predator model with a diseased predator. (English) Zbl 1437.37118 J. Math. Biol. 80, No. 4, 1077-1093 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 37N25 92D25 92D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Zhilan; Glasser, John W. Mixing in meta-population models. (English) Zbl 1439.92153 Bianchi, Arianna (ed.) et al., The dynamics of biological systems. Contributions from the summer school held as part of the “Séminaire de Mathématiques Supérieures”, University of Alberta, Alberta, Canada, May 30 – June 11, 2016. Cham: Springer. Math. Planet Earth 4, 99-126 (2019). MSC: 92D25 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Ackleh, Azmy S.; Sutton, Karyn L.; Tang, Tingting; Zhao, Lihong A second order finite difference scheme for a variable infection-structured model of Mycobacterium marinum dynamics in aquatic animals. (English) Zbl 1412.65062 J. Nonlinear Var. Anal. 2, No. 2, 177-202 (2018). MSC: 65M06 65L12 92D30 92D25 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Myers, Matthew R.; Hariharan, Prasanna; Guha, Suvajyoti; Yan, Jing A mathematical model for assessing the effectiveness of protective devices in reducing risk of infection by inhalable droplets. (English) Zbl 1404.92118 Math. Med. Biol. 35, No. 1, 1-23 (2018). MSC: 92C60 × Cite Format Result Cite Review PDF Full Text: DOI
Rusakov, S. V.; Chirkov, M. V. Discrete control of a dynamical system with delay under conditions of uncertainty. (English. Russian original) Zbl 1394.49003 J. Math. Sci., New York 230, No. 5, 762-765 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 132 (2016). MSC: 49J15 92D25 92C60 49S05 49M05 × Cite Format Result Cite Review PDF Full Text: DOI
Janoušková, Eva; Berec, Luděk Host-pathogen dynamics under sterilizing pathogens and fecundity-longevity trade-off in hosts. (English) Zbl 1397.92640 J. Theor. Biol. 450, 76-85 (2018). MSC: 92D30 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Betti, M. I.; Wahl, L. M.; Zamir, M. Reproduction number and asymptotic stability for the dynamics of a honey bee colony with continuous age structure. (English) Zbl 1372.92074 Bull. Math. Biol. 79, No. 7, 1586-1611 (2017). MSC: 92D25 92D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Miaohua Approximating individual risk of infection in a Markov chain epidemic network model with a deterministic system. (English) Zbl 1375.37180 J. Difference Equ. Appl. 22, No. 10, 1438-1451 (2016). MSC: 37N25 92D25 60J10 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Zhilan; Zheng, Yiqiang; Hernandez-Ceron, Nancy; Zhao, Henry Designing public health policies to mitigate the adverse consequences of rural-urban migration via meta-population modeling. (English) Zbl 1347.92090 Chowell, Gerardo (ed.) et al., Mathematical and statistical modeling for emerging and re-emerging infectious diseases. Cham: Springer (ISBN 978-3-319-40411-0/hbk; 978-3-319-40413-4/ebook). 187-206 (2016). MSC: 92D30 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Gwiazda, Piotr; Miasojedow, Błaẓej; Rosińska, Magdalena Bayesian inference for age-structured population model of infectious disease with application to varicella in Poland. (English) Zbl 1344.92165 J. Theor. Biol. 407, 38-50 (2016). MSC: 92D30 60J20 62F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poletto, Chiara; Tizzoni, Michele; Colizza, Vittoria Human mobility and time spent at destination: impact on spatial epidemic spreading. (English) Zbl 1411.92287 J. Theor. Biol. 338, 41-58 (2013). MSC: 92D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ratti, Vardayani; Kevan, Peter G.; Eberl, Hermann J. A mathematical model for population dynamics in honeybee colonies infested with Varroa destructor and the acute bee paralysis virus. (English) Zbl 1332.92073 Can. Appl. Math. Q. 21, No. 1, 63-93 (2013). MSC: 92D30 92D25 × Cite Format Result Cite Review PDF
Kang, Yun; Castillo-Chavez, Carlos Multiscale analysis of compartment models with dispersal. (English) Zbl 1448.92203 J. Biol. Dyn. 6, Suppl. 2, 50-79 (2012). MSC: 92D25 92D30 92D40 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Balcan, Duygu; Vespignani, Alessandro Invasion threshold in structured populations with recurrent mobility patterns. (English) Zbl 1307.92335 J. Theor. Biol. 293, 87-100 (2012). MSC: 92D30 92D25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Berec, Luděk; Maxin, Daniel Double impact of sterilizing pathogens: added value of increased life expectancy on pest control effectiveness. (English) Zbl 1279.92069 J. Math. Biol. 64, No. 7, 1281-1311 (2012). MSC: 92D25 34C60 92B05 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Pimenov, A.; Kelly, T. C.; Korobeinikov, A.; O’Callaghan, M. J. A.; Pokrovskii, A. V.; Rachinskii, D. Memory effects in population dynamics : spread of infectious disease as a case study. (English) Zbl 1316.92088 Math. Model. Nat. Phenom. 7, No. 3, 204-226 (2012). MSC: 92D30 92D25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Li, Ya Toxicity impact on a plant-herbivore model with disease in herbivores. (English) Zbl 1231.34069 Comput. Math. Appl. 62, No. 6, 2671-2680 (2011). MSC: 34C23 92D25 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Momota, Akira; Tabata, Ken; Futagami, Koichi Infectious disease and preventive behavior in an overlapping generations model. (English) Zbl 1198.91120 J. Econ. Dyn. Control 29, No. 10, 1673-1700 (2005). MSC: 91B55 92C60 91B32 × Cite Format Result Cite Review PDF Full Text: DOI
Hethcote, Herbert W.; Wang, Wendi; Li, Yi Species coexistence and periodicity in host-host-pathogen models. (English) Zbl 1077.92044 J. Math. Biol. 51, No. 6, 629-660 (2005). MSC: 92D30 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Ireland, J. M.; Norman, R. A.; Greenman, J. V. The effect of seasonal host birth rates on population dynamics: the importance of resonance. (English) Zbl 1447.92341 J. Theor. Biol. 231, No. 2, 229-238 (2004). MSC: 92D25 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
John, A. Meredith Endemic disease in host populations with fully specified demography. (English) Zbl 0698.92019 Theor. Popul. Biol. 37, No. 3, 455-471 (1990). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Castillo-Chavez, C.; Hethcote, H. W.; Andreasen, V.; Levin, S. A.; Liu, W. M. Epidemiological models with age structure, proportionate mixing, and cross-immunity. (English) Zbl 0715.92028 J. Math. Biol. 27, No. 3, 233-258 (1989). MSC: 92D30 35B35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Belykh, L. N. Recent results in mathematical modeling of infectious diseases. (English) Zbl 0672.92002 Acta Appl. Math. 14, No. 1-2, 125-133 (1989). Reviewer: J.Šústal MSC: 92C50 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Scalia-Tomba, Gianpaolo Asymptotic final size distribution of the multitype Reed-Frost process. (English) Zbl 0608.92011 J. Appl. Probab. 23, 563-584 (1986). Reviewer: D.Beyer MSC: 92D25 60J85 60J10 × Cite Format Result Cite Review PDF Full Text: DOI
Lefèvre, Claude; Malice, Marie-Pierre A discrete time model for a S-I-S infectious disease with a random number of contacts between individuals. (English) Zbl 0601.92028 Math. Modelling 7, 785-792 (1986). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Fishman, Svetlana; Marcus, Ruth A model for spread of plant disease with periodic removals. (English) Zbl 0548.92015 J. Math. Biol. 21, 149-158 (1984). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Niels; Hopper, John Llewelyn The infectiousness of a disease in a community of households. (English) Zbl 0525.92020 Biometrika 70, 29-39 (1983). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Makhmudov, Adildjan On Fibonacci’s model of infectious disease. (English) Zbl 0507.92018 Mathematical modeling in immunology and medicine, Proc. IFIP TC 7 Working Conf., Moscow 1982, 319-323 (1983). MSC: 92D25 × Cite Format Result Cite Review PDF
Bailey, Norman T. J. The structural simplification of an epidemiological compartment model. (English) Zbl 0484.92020 J. Math. Biol. 14, 101-116 (1982). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Niels A general chain binomial model for infectious diseases. (English) Zbl 0486.92021 Biometrics 37, 251-258 (1981). MSC: 92D25 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Bailey, Norman T. J.; Duppenthaler, J. Sensitivity analysis in the modelling of infectious disease dynamics. (English) Zbl 0452.92023 J. Math. Biol. 10, 113-131 (1980). MSC: 92D25 90C31 34A30 65C20 × Cite Format Result Cite Review PDF Full Text: DOI
Leggett, Richard W.; Williams, Lynn R. A fixed point theorem with application to an infectious disease model. (English) Zbl 0448.47044 J. Math. Anal. Appl. 76, 91-97 (1980). MSC: 47H10 92D25 58C30 55M20 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Niels An epidemic chain model. (English) Zbl 0432.92023 Biometrics 36, 249-254 (1980). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Marchuk, G. I.; Belykh, L. N. Mathematical model of an infectious disease. (English) Zbl 0435.92026 Calcolo 16, 399-414 (1979). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Hethcote, Herbert W. An immunization model for a heterogeneous population. (English) Zbl 0392.92009 Theor. Population Biology 14, 338-349 (1978). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI