Pu, Liqiong; Lin, Zhigui; Lou, Yuan A West Nile virus nonlocal model with free boundaries and seasonal succession. (English) Zbl 07645520 J. Math. Biol. 86, No. 2, Paper No. 25, 52 p. (2023). MSC: 35R35 35K51 35K57 92D30 PDF BibTeX XML Cite \textit{L. Pu} et al., J. Math. Biol. 86, No. 2, Paper No. 25, 52 p. (2023; Zbl 07645520) Full Text: DOI arXiv OpenURL
Rezounenko, Alexander Viral infection model with diffusion and distributed delay: finite-dimensional global attractor. (English) Zbl 07639074 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 11, 14 p. (2023). MSC: 92C32 34D45 35K57 PDF BibTeX XML Cite \textit{A. Rezounenko}, Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 11, 14 p. (2023; Zbl 07639074) Full Text: DOI OpenURL
Ge, Jing; Lin, Zhigui; Tarboush, Abdelrazig K.; Zhu, Huaiping Dynamics of West Nile virus driven by seasonal fluctuations in a spatially variable habitat. (English) Zbl 07622295 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2081-2103 (2023). MSC: 35Q92 92D30 35K51 35R35 35B40 35P15 PDF BibTeX XML Cite \textit{J. Ge} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2081--2103 (2023; Zbl 07622295) Full Text: DOI OpenURL
Bai, Zhenguo; Zhao, Xiao-Qiang Threshold dynamics of a nonlocal and time-delayed West Nile virus model with seasonality. (English) Zbl 1497.35474 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106758, 19 p. (2022). MSC: 35Q92 92D30 92-08 35K57 35B35 35B41 37N25 35R07 PDF BibTeX XML Cite \textit{Z. Bai} and \textit{X.-Q. Zhao}, Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106758, 19 p. (2022; Zbl 1497.35474) Full Text: DOI OpenURL
Ait Mahiout, L.; Mozokhina, A.; Tokarev, A.; Volpert, V. Virus replication and competition in a cell culture: application to the SARS-CoV-2 variants. (English) Zbl 1497.92046 Appl. Math. Lett. 133, Article ID 108217, 8 p. (2022). MSC: 92C32 92C37 35K57 PDF BibTeX XML Cite \textit{L. Ait Mahiout} et al., Appl. Math. Lett. 133, Article ID 108217, 8 p. (2022; Zbl 1497.92046) Full Text: DOI OpenURL
Wang, Liping; Wu, Peng Threshold dynamics of a Zika model with environmental and sexual transmissions and spatial heterogeneity. (English) Zbl 1497.92309 Z. Angew. Math. Phys. 73, No. 4, Paper No. 171, 22 p. (2022). MSC: 92D30 35K57 PDF BibTeX XML Cite \textit{L. Wang} and \textit{P. Wu}, Z. Angew. Math. Phys. 73, No. 4, Paper No. 171, 22 p. (2022; Zbl 1497.92309) Full Text: DOI OpenURL
Xu, Rui; Song, Chenwei Dynamics of an HIV infection model with virus diffusion and latently infected cell activation. (English) Zbl 1492.92022 Nonlinear Anal., Real World Appl. 67, Article ID 103618, 21 p. (2022). MSC: 92C32 92D30 35K57 PDF BibTeX XML Cite \textit{R. Xu} and \textit{C. Song}, Nonlinear Anal., Real World Appl. 67, Article ID 103618, 21 p. (2022; Zbl 1492.92022) Full Text: DOI OpenURL
Bavi, O.; Hosseininia, M.; Heydari, M. H.; Bavi, N. SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: a meshless algorithm for the fractional diffusion equation. (English) Zbl 07511082 Eng. Anal. Bound. Elem. 138, 108-117 (2022). MSC: 92-XX 86-XX PDF BibTeX XML Cite \textit{O. Bavi} et al., Eng. Anal. Bound. Elem. 138, 108--117 (2022; Zbl 07511082) Full Text: DOI OpenURL
Zhang, Ran; Zhao, Hongyong Traveling wave solutions for Zika transmission model with nonlocal diffusion. (English) Zbl 1486.92303 J. Math. Anal. Appl. 513, No. 1, Article ID 126201, 29 p. (2022). MSC: 92D30 35C07 35K57 35Q92 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{H. Zhao}, J. Math. Anal. Appl. 513, No. 1, Article ID 126201, 29 p. (2022; Zbl 1486.92303) Full Text: DOI OpenURL
Zhang, Lei; Zhao, Xiao-Qiang Asymptotic behavior of the basic reproduction ratio for periodic reaction-diffusion systems. (English) Zbl 1480.35053 SIAM J. Math. Anal. 53, No. 6, 6873-6909 (2021). MSC: 35B40 35B25 35K51 35K57 92D25 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{X.-Q. Zhao}, SIAM J. Math. Anal. 53, No. 6, 6873--6909 (2021; Zbl 1480.35053) Full Text: DOI arXiv OpenURL
Gazori, Fereshte; Hesaaraki, Mahmoud Three-dimensional spread analysis of a Dengue disease model with numerical season control. (English) Zbl 1479.35882 Int. J. Biomath. 14, No. 8, Article ID 2150066, 57 p. (2021). MSC: 35Q92 35K51 92D30 92D25 35A01 35A02 35B45 35B09 92-08 65M06 65N06 49N90 PDF BibTeX XML Cite \textit{F. Gazori} and \textit{M. Hesaaraki}, Int. J. Biomath. 14, No. 8, Article ID 2150066, 57 p. (2021; Zbl 1479.35882) Full Text: DOI OpenURL
Zhang, Mengyun; Lin, Zhigui; Zhu, Huaiping The transmission of dengue virus with Aedes aegypti mosquito in a heterogeneous environment. (English) Zbl 1479.35899 Int. J. Biomath. 14, No. 5, Article ID 2150026, 19 p. (2021). MSC: 35Q92 35K57 35B35 92D25 92D30 PDF BibTeX XML Cite \textit{M. Zhang} et al., Int. J. Biomath. 14, No. 5, Article ID 2150026, 19 p. (2021; Zbl 1479.35899) Full Text: DOI OpenURL
Duan, Lian; Huang, Lihong Threshold dynamics of a vector-host epidemic model with spatial structure and nonlinear incidence rate. (English) Zbl 1472.35038 Proc. Am. Math. Soc. 149, No. 11, 4789-4797 (2021). MSC: 35B35 35K51 35K57 92D30 PDF BibTeX XML Cite \textit{L. Duan} and \textit{L. Huang}, Proc. Am. Math. Soc. 149, No. 11, 4789--4797 (2021; Zbl 1472.35038) Full Text: DOI OpenURL
Pu, Liqiong; Lin, Zhigui Spatial transmission and risk assessment of West Nile virus on a growing domain. (English) Zbl 1473.35604 Math. Methods Appl. Sci. 44, No. 7, 6067-6085 (2021). MSC: 35Q92 35K55 35K57 92D30 PDF BibTeX XML Cite \textit{L. Pu} and \textit{Z. Lin}, Math. Methods Appl. Sci. 44, No. 7, 6067--6085 (2021; Zbl 1473.35604) Full Text: DOI OpenURL
Baabdulla, Arwa Abdulla; Now, Hesung; Park, Ju An; Kim, Woo-Jong; Jung, Sungjune; Yoo, Joo-Yeon; Hillen, Thomas Homogenization of a reaction diffusion equation can explain influenza a virus load data. (English) Zbl 1470.92280 J. Theor. Biol. 527, Article ID 110816, 10 p. (2021). MSC: 92D30 35K57 PDF BibTeX XML Cite \textit{A. A. Baabdulla} et al., J. Theor. Biol. 527, Article ID 110816, 10 p. (2021; Zbl 1470.92280) Full Text: DOI OpenURL
Kenne, Cyrille; Dorville, René; Mophou, Gisèle; Zongo, Pascal An age-structured model for tilapia lake virus transmission in freshwater with vertical and horizontal transmission. (English) Zbl 1475.35356 Bull. Math. Biol. 83, No. 8, Paper No. 90, 35 p. (2021). MSC: 35Q92 35K57 35C07 35B35 35A01 35A02 92D30 92-08 PDF BibTeX XML Cite \textit{C. Kenne} et al., Bull. Math. Biol. 83, No. 8, Paper No. 90, 35 p. (2021; Zbl 1475.35356) Full Text: DOI HAL OpenURL
Li, Fuxiang; Zhao, Xiao-Qiang Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality. (English) Zbl 1464.35370 Bull. Math. Biol. 83, No. 5, Paper No. 43, 25 p. (2021). MSC: 35Q92 92D30 35K57 37N25 35B35 35B40 35B10 65M06 65N06 92-08 PDF BibTeX XML Cite \textit{F. Li} and \textit{X.-Q. Zhao}, Bull. Math. Biol. 83, No. 5, Paper No. 43, 25 p. (2021; Zbl 1464.35370) Full Text: DOI OpenURL
Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution. (English) Zbl 1458.35417 SIAM J. Appl. Math. 81, No. 1, 107-128 (2021). MSC: 35Q92 35K57 35R09 92D25 92C15 92C50 PDF BibTeX XML Cite \textit{N. Bessonov} et al., SIAM J. Appl. Math. 81, No. 1, 107--128 (2021; Zbl 1458.35417) Full Text: DOI OpenURL
Cheng, Chengcheng; Zheng, Zuohuan Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus. (English) Zbl 1453.37081 J. Math. Anal. Appl. 493, No. 1, Article ID 124507, 24 p. (2021). Reviewer: Carlo Laing (Auckland) MSC: 37N25 92D30 35K57 35B40 PDF BibTeX XML Cite \textit{C. Cheng} and \textit{Z. Zheng}, J. Math. Anal. Appl. 493, No. 1, Article ID 124507, 24 p. (2021; Zbl 1453.37081) Full Text: DOI arXiv OpenURL
El Rhoubari, Zineb; Hattaf, Khalid; Yousfi, Noura A class of Ebola virus disease models with post-death transmission and environmental contamination. (English) Zbl 1471.92304 Hattaf, Khalid (ed.) et al., Mathematical modelling and analysis of infectious diseases. Cham: Springer. Stud. Syst. Decis. Control 302, 295-321 (2020). MSC: 92D30 34C60 35Q92 PDF BibTeX XML Cite \textit{Z. El Rhoubari} et al., Stud. Syst. Decis. Control 302, 295--321 (2020; Zbl 1471.92304) Full Text: DOI OpenURL
Wang, Xinchang; Tang, Xiaosong; Wang, Zhiwei; Li, Xiaolin Global dynamics of a diffusive viral infection model with general incidence function and distributed delays. (English) Zbl 1466.92213 Ric. Mat. 69, No. 2, 683-702 (2020). MSC: 92D30 35Q92 35B35 PDF BibTeX XML Cite \textit{X. Wang} et al., Ric. Mat. 69, No. 2, 683--702 (2020; Zbl 1466.92213) Full Text: DOI OpenURL
Wang, Shaoli; Zhang, Achun; Xu, Fei Dynamical analysis for delayed virus infection models with cell-to-cell transmission and density-dependent diffusion. (English) Zbl 1461.92122 Int. J. Biomath. 13, No. 7, Article ID 2050060, 30 p. (2020). MSC: 92D30 35Q92 35B35 PDF BibTeX XML Cite \textit{S. Wang} et al., Int. J. Biomath. 13, No. 7, Article ID 2050060, 30 p. (2020; Zbl 1461.92122) Full Text: DOI OpenURL
Bocharov, Gennady A.; Grebennikov, Dmitry S.; Savinkov, Rostislav S. Mathematical immunology: from phenomenological to multiphysics modelling. (English) Zbl 1451.92082 Russ. J. Numer. Anal. Math. Model. 35, No. 4, 203-213 (2020); corrigendum ibid. 36, No. 1, 55 (2021). Reviewer: Gabriela Marinoschi (Bucureşti) MSC: 92C30 92C32 92C17 35Q92 PDF BibTeX XML Cite \textit{G. A. Bocharov} et al., Russ. J. Numer. Anal. Math. Model. 35, No. 4, 203--213 (2020; Zbl 1451.92082) Full Text: DOI OpenURL
Bessonov, Nikolai; Bocharov, Gennady A.; Leon, Cristina; Popov, Vladimir; Volpert, Vitaly Genotype-dependent virus distribution and competition of virus strains. (English) Zbl 1439.35259 Math. Mech. Complex Syst. 8, No. 2, 101-126 (2020). MSC: 35K57 35Q92 92C30 PDF BibTeX XML Cite \textit{N. Bessonov} et al., Math. Mech. Complex Syst. 8, No. 2, 101--126 (2020; Zbl 1439.35259) Full Text: DOI OpenURL
Du, Yihong; Ni, Wenjie Analysis of a West Nile virus model with nonlocal diffusion and free boundaries. (English) Zbl 1439.35220 Nonlinearity 33, No. 9, 4407-4448 (2020). MSC: 35K40 35Q92 92D30 92D25 PDF BibTeX XML Cite \textit{Y. Du} and \textit{W. Ni}, Nonlinearity 33, No. 9, 4407--4448 (2020; Zbl 1439.35220) Full Text: DOI OpenURL
Bellomo, Nicola; Tao, Youshan Stabilization in a chemotaxis model for virus infection. (English) Zbl 1439.35052 Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 105-117 (2020). MSC: 35B40 35K51 35K57 35K58 92C17 92D30 PDF BibTeX XML Cite \textit{N. Bellomo} and \textit{Y. Tao}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 105--117 (2020; Zbl 1439.35052) Full Text: DOI OpenURL
Elaiw, A. M.; Hobiny, A. D.; Al Agha, A. D. Global dynamics of reaction-diffusion oncolytic M1 virotherapy with immune response. (English) Zbl 1433.35164 Appl. Math. Comput. 367, Article ID 124758, 21 p. (2020). MSC: 35K51 92D30 35Q92 92C50 92C60 35K57 PDF BibTeX XML Cite \textit{A. M. Elaiw} et al., Appl. Math. Comput. 367, Article ID 124758, 21 p. (2020; Zbl 1433.35164) Full Text: DOI OpenURL
Luo, Yantao; Zhang, Long; Zheng, Tingting; Teng, Zhidong Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence. (English) Zbl 07571222 Physica A 535, Article ID 122415, 20 p. (2019). MSC: 82-XX PDF BibTeX XML Cite \textit{Y. Luo} et al., Physica A 535, Article ID 122415, 20 p. (2019; Zbl 07571222) Full Text: DOI OpenURL
Liang, Jitai; Wei, Junjie Lyapunov functional for virus infection model with diffusion and state-dependent delays. (English) Zbl 1497.92271 Math. Biosci. Eng. 16, No. 2, 947-966 (2019). MSC: 92D30 34K60 35B35 PDF BibTeX XML Cite \textit{J. Liang} and \textit{J. Wei}, Math. Biosci. Eng. 16, No. 2, 947--966 (2019; Zbl 1497.92271) Full Text: DOI OpenURL
Hasan, Bushra; Singh, Manmohan; Richards, David; Blicblau, Aaron Mathematical modelling of Zika virus as a mosquito-borne and sexually transmitted disease with diffusion effects. (English) Zbl 07316758 Math. Comput. Simul. 166, 56-75 (2019). MSC: 65-XX PDF BibTeX XML Cite \textit{B. Hasan} et al., Math. Comput. Simul. 166, 56--75 (2019; Zbl 07316758) Full Text: DOI OpenURL
Tang, Sitian; Teng, Zhidong; Miao, Hui Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence. (English) Zbl 1442.92092 Comput. Math. Appl. 78, No. 3, 786-806 (2019). MSC: 92C60 35K51 35K57 PDF BibTeX XML Cite \textit{S. Tang} et al., Comput. Math. Appl. 78, No. 3, 786--806 (2019; Zbl 1442.92092) Full Text: DOI OpenURL
Sun, Hongquan; Wang, Jinliang Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay. (English) Zbl 1442.92181 Comput. Math. Appl. 77, No. 1, 284-301 (2019). MSC: 92D30 34D23 PDF BibTeX XML Cite \textit{H. Sun} and \textit{J. Wang}, Comput. Math. Appl. 77, No. 1, 284--301 (2019; Zbl 1442.92181) Full Text: DOI OpenURL
Hattaf, Khalid; Yousfi, Noura Spatiotemporal dynamics of a class of models describing infectious diseases. (English) Zbl 1430.92102 Smith, Frank T. (ed.) et al., Mathematics applied to engineering, modelling, and social issues. Cham: Springer. Stud. Syst. Decis. Control 200, 529-549 (2019). MSC: 92D30 37N25 PDF BibTeX XML Cite \textit{K. Hattaf} and \textit{N. Yousfi}, Stud. Syst. Decis. Control 200, 529--549 (2019; Zbl 1430.92102) Full Text: DOI OpenURL
Yamazaki, Kazuo Zika virus dynamics partial differential equations model with sexual transmission route. (English) Zbl 1430.92116 Nonlinear Anal., Real World Appl. 50, 290-315 (2019). MSC: 92D30 35Q92 PDF BibTeX XML Cite \textit{K. Yamazaki}, Nonlinear Anal., Real World Appl. 50, 290--315 (2019; Zbl 1430.92116) Full Text: DOI OpenURL
Li, Jun-Feng Some models with repulsion effect on superinfecting viruses by infected cells. (English) Zbl 1423.35204 Int. J. Biomath. 12, No. 7, Article ID 1950079, 11 p. (2019). MSC: 35K57 92D30 35Q92 PDF BibTeX XML Cite \textit{J.-F. Li}, Int. J. Biomath. 12, No. 7, Article ID 1950079, 11 p. (2019; Zbl 1423.35204) Full Text: DOI OpenURL
Ren, Xinzhi; Liu, Xianning A competition un-stirred chemostat model with virus in an aquatic system. (English) Zbl 1423.35209 Appl. Anal. 98, No. 13, 2329-2358 (2019). MSC: 35K57 35B32 35B40 37N25 35K51 35Q92 PDF BibTeX XML Cite \textit{X. Ren} and \textit{X. Liu}, Appl. Anal. 98, No. 13, 2329--2358 (2019; Zbl 1423.35209) Full Text: DOI OpenURL
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. (English) Zbl 1428.35615 SIAM J. Appl. Math. 79, No. 5, 1990-2010 (2019). MSC: 35Q92 35B40 35K57 92C17 92C15 35B36 35A01 PDF BibTeX XML Cite \textit{N. Bellomo} et al., SIAM J. Appl. Math. 79, No. 5, 1990--2010 (2019; Zbl 1428.35615) Full Text: DOI OpenURL
González-Parra, Gilberto; Dobrovolny, Hana M. The rate of viral transfer between upper and lower respiratory tracts determines RSV illness duration. (English) Zbl 1418.92055 J. Math. Biol. 79, No. 2, 467-483 (2019). MSC: 92C50 92C60 PDF BibTeX XML Cite \textit{G. González-Parra} and \textit{H. M. Dobrovolny}, J. Math. Biol. 79, No. 2, 467--483 (2019; Zbl 1418.92055) Full Text: DOI OpenURL
Tarboush, Abdelrazig K.; Ge, Jing; Lin, Zhigui Coexistence of a cross-diffusive West Nile virus model in a heterogenous environment. (English) Zbl 1416.92169 Math. Biosci. Eng. 15, No. 6, 1479-1494 (2018). MSC: 92D30 35K57 PDF BibTeX XML Cite \textit{A. K. Tarboush} et al., Math. Biosci. Eng. 15, No. 6, 1479--1494 (2018; Zbl 1416.92169) Full Text: DOI OpenURL
Bocharov, G. A.; Volpert, V. A.; Tasevich, A. L. Reaction-diffusion equations in immunology. (English. Russian original) Zbl 1415.92112 Comput. Math. Math. Phys. 58, No. 12, 1967-1976 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2048-2059 (2018). MSC: 92C60 92D30 35Q92 PDF BibTeX XML Cite \textit{G. A. Bocharov} et al., Comput. Math. Math. Phys. 58, No. 12, 1967--1976 (2018; Zbl 1415.92112); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2048--2059 (2018) Full Text: DOI OpenURL
Bocharov, G.; Meyerhans, A.; Bessonov, N.; Trofimchuk, S.; Volpert, V. Interplay between reaction and diffusion processes in governing the dynamics of virus infections. (English) Zbl 1406.92553 J. Theor. Biol. 457, 221-236 (2018). MSC: 92D30 92C17 92C30 35Q92 PDF BibTeX XML Cite \textit{G. Bocharov} et al., J. Theor. Biol. 457, 221--236 (2018; Zbl 1406.92553) Full Text: DOI OpenURL
Miao, Hui; Teng, Zhidong; Abdurahman, Xamxinur; Li, Zhiming Global stability of a diffusive and delayed virus infection model with general incidence function and adaptive immune response. (English) Zbl 1404.35460 Comput. Appl. Math. 37, No. 3, 3780-3805 (2018). MSC: 35Q92 92D30 35B05 35B35 PDF BibTeX XML Cite \textit{H. Miao} et al., Comput. Appl. Math. 37, No. 3, 3780--3805 (2018; Zbl 1404.35460) Full Text: DOI OpenURL
Rezounenko, Alexander Viral infection model with diffusion and state-dependent delay: stability of classical solutions. (English) Zbl 1396.92085 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1091-1105 (2018). MSC: 92D30 35K57 PDF BibTeX XML Cite \textit{A. Rezounenko}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1091--1105 (2018; Zbl 1396.92085) Full Text: DOI arXiv OpenURL
Sasaki, Toru; Suzuki, Takashi Asymptotic behaviour of the solutions to a virus dynamics model with diffusion. (English) Zbl 1403.35307 Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 525-541 (2018). MSC: 35Q92 35B40 35K57 37B25 92D25 PDF BibTeX XML Cite \textit{T. Sasaki} and \textit{T. Suzuki}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 525--541 (2018; Zbl 1403.35307) Full Text: DOI OpenURL
Maziane, Mehdi; Hattaf, Khalid; Yousfi, Noura Spatiotemporal dynamics of an HIV infection model with delay in immune response activation. (English) Zbl 1487.92012 Int. J. Differ. Equ. 2018, Article ID 3294268, 9 p. (2018). MSC: 92C60 35M33 35Q92 PDF BibTeX XML Cite \textit{M. Maziane} et al., Int. J. Differ. Equ. 2018, Article ID 3294268, 9 p. (2018; Zbl 1487.92012) Full Text: DOI OpenURL
Miao, Hui; Abdurahman, Xamxinur; Teng, Zhidong; Zhang, Long Dynamical analysis of a delayed reaction-diffusion virus infection model with logistic growth and humoral immune impairment. (English) Zbl 1391.35385 Chaos Solitons Fractals 110, 280-291 (2018). MSC: 35R10 35B35 35B32 92D30 PDF BibTeX XML Cite \textit{H. Miao} et al., Chaos Solitons Fractals 110, 280--291 (2018; Zbl 1391.35385) Full Text: DOI OpenURL
Chen, Qingwan; Liu, Wenqing Stability analysis of viral dynamics model with cross-diffusion and B-D functional responses. (Chinese. English summary) Zbl 1399.35065 J. Beihua Univ., Nat. Sci. 19, No. 1, 13-17 (2018). MSC: 35B35 35B40 92D30 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{W. Liu}, J. Beihua Univ., Nat. Sci. 19, No. 1, 13--17 (2018; Zbl 1399.35065) OpenURL
Suo, Wenshuang; Jia, Yunfeng Effects of the killing rate on global bifurcation in an oncolytic-virus system with tumors. (English) Zbl 1474.35398 J. Appl. Anal. Comput. 7, No. 1, 264-277 (2017). MSC: 35K57 58J55 PDF BibTeX XML Cite \textit{W. Suo} and \textit{Y. Jia}, J. Appl. Anal. Comput. 7, No. 1, 264--277 (2017; Zbl 1474.35398) Full Text: DOI OpenURL
Kang, Chengjun; Miao, Hui; Chen, Xing; Xu, Jiabo; Huang, Da Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response. (English) Zbl 1444.37072 Adv. Difference Equ. 2017, Paper No. 324, 16 p. (2017). MSC: 37N25 92C60 92D30 PDF BibTeX XML Cite \textit{C. Kang} et al., Adv. Difference Equ. 2017, Paper No. 324, 16 p. (2017; Zbl 1444.37072) Full Text: DOI OpenURL
Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu Dynamics of virus infection models with density-dependent diffusion. (English) Zbl 1396.92087 Comput. Math. Appl. 74, No. 10, 2403-2422 (2017). MSC: 92D30 35K57 PDF BibTeX XML Cite \textit{S. Wang} et al., Comput. Math. Appl. 74, No. 10, 2403--2422 (2017; Zbl 1396.92087) Full Text: DOI OpenURL
Wang, Shaoli; Zhang, Jiafang; Xu, Fei; Song, Xinyu Dynamics of virus infection models with density-dependent diffusion and Beddington-DeAngelis functional response. (English) Zbl 1386.35408 Math. Methods Appl. Sci. 40, No. 15, 5593-5612 (2017). MSC: 35Q92 35B35 35B40 92D25 PDF BibTeX XML Cite \textit{S. Wang} et al., Math. Methods Appl. Sci. 40, No. 15, 5593--5612 (2017; Zbl 1386.35408) Full Text: DOI OpenURL
Tarboush, Abdelrazig K.; Ge, Jing; Lin, Zhigui Asymptotic periodicity in a diffusive West Nile virus model in a heterogeneous environment. (English) Zbl 1375.35581 Int. J. Biomath. 10, No. 8, Article ID 1750110, 16 p. (2017). MSC: 35Q92 35K55 35K57 35K65 92D30 PDF BibTeX XML Cite \textit{A. K. Tarboush} et al., Int. J. Biomath. 10, No. 8, Article ID 1750110, 16 p. (2017; Zbl 1375.35581) Full Text: DOI OpenURL
Lin, Zhigui; Zhu, Huaiping Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary. (English) Zbl 1373.35321 J. Math. Biol. 75, No. 6-7, 1381-1409 (2017). MSC: 35Q92 35K55 35R35 35B40 92D30 PDF BibTeX XML Cite \textit{Z. Lin} and \textit{H. Zhu}, J. Math. Biol. 75, No. 6--7, 1381--1409 (2017; Zbl 1373.35321) Full Text: DOI arXiv OpenURL
Yang, Yu; Zhou, Jinling Global stability of a diffusive virus dynamics model with Beddington-DeAngelis incidence function. (Chinese. English summary) Zbl 1363.35039 Appl. Math., Ser. A (Chin. Ed.) 31, No. 2, 161-166 (2016). MSC: 35B35 35K57 92D30 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{J. Zhou}, Appl. Math., Ser. A (Chin. Ed.) 31, No. 2, 161--166 (2016; Zbl 1363.35039) OpenURL
de Rioja, V. L.; Fort, J.; Isern, N. Front propagation speeds of T7 virus mutants. (English) Zbl 1343.92530 J. Theor. Biol. 385, 112-118 (2015). MSC: 92D30 35K57 PDF BibTeX XML Cite \textit{V. L. de Rioja} et al., J. Theor. Biol. 385, 112--118 (2015; Zbl 1343.92530) Full Text: DOI OpenURL
Connell McCluskey, C.; Yang, Yu Global stability of a diffusive virus dynamics model with general incidence function and time delay. (English) Zbl 1371.92118 Nonlinear Anal., Real World Appl. 25, 64-78 (2015). MSC: 92D30 34D23 PDF BibTeX XML Cite \textit{C. Connell McCluskey} and \textit{Y. Yang}, Nonlinear Anal., Real World Appl. 25, 64--78 (2015; Zbl 1371.92118) Full Text: DOI OpenURL
Malinzi, Joseph; Sibanda, Precious; Mambili-Mamboundou, Hermane Analysis of virotherapy in solid tumor invasion. (English) Zbl 1328.35252 Math. Biosci. 263, 102-110 (2015). Reviewer: Jonathan Zinsl (München) MSC: 35Q92 92C50 34D20 35C07 92C17 65M06 35K57 PDF BibTeX XML Cite \textit{J. Malinzi} et al., Math. Biosci. 263, 102--110 (2015; Zbl 1328.35252) Full Text: DOI OpenURL
Maidana, Norberto Aníbal; Yang, Hyun Mo How do bird migrations propagate the West Nile virus. (English) Zbl 1409.92246 Math. Popul. Stud. 20, No. 4, 192-207 (2013). MSC: 92D30 92D50 35Q92 PDF BibTeX XML Cite \textit{N. A. Maidana} and \textit{H. M. Yang}, Math. Popul. Stud. 20, No. 4, 192--207 (2013; Zbl 1409.92246) Full Text: DOI OpenURL
González, Ramón E. R.; de Figueirêdo, Pedro Hugo; Coutinho, Sérgio Cellular automata approach for the dynamics of HIV infection under antiretroviral therapies: the role of the virus diffusion. (English) Zbl 1395.92094 Physica A 392, No. 19, 4717-4725 (2013). MSC: 92C60 68Q80 PDF BibTeX XML Cite \textit{R. E. R. González} et al., Physica A 392, No. 19, 4717--4725 (2013; Zbl 1395.92094) Full Text: DOI OpenURL
Jones, Don A.; Smith, Hal L.; Thieme, Horst R. Spread of viral infection of immobilized bacteria. (English) Zbl 1267.92050 Netw. Heterog. Media 8, No. 1, 327-342 (2013). MSC: 92C60 35K57 35C07 35Q92 PDF BibTeX XML Cite \textit{D. A. Jones} et al., Netw. Heterog. Media 8, No. 1, 327--342 (2013; Zbl 1267.92050) Full Text: DOI OpenURL
Rezaeyan, R.; Yousefian, R. Numerical solution of stochastic ordinary differential equations in diffusion HIV virus. (English) Zbl 1242.60073 Int. J. Numer. Methods Appl. 5, No. 2, 115-122 (2011). MSC: 60H35 60H10 92D30 PDF BibTeX XML Cite \textit{R. Rezaeyan} and \textit{R. Yousefian}, Int. J. Numer. Methods Appl. 5, No. 2, 115--122 (2011; Zbl 1242.60073) Full Text: Link OpenURL
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Hensel, Sebastian C.; Rawlings, James B.; Yin, John Stochastic kinetic modeling of vesicular stomatitis virus intracellular growth. (English) Zbl 1173.92010 Bull. Math. Biol. 71, No. 7, 1671-1692 (2009). MSC: 92C37 92C50 92C45 60J70 65C20 PDF BibTeX XML Cite \textit{S. C. Hensel} et al., Bull. Math. Biol. 71, No. 7, 1671--1692 (2009; Zbl 1173.92010) Full Text: DOI Link OpenURL
Haseltine, Eric L.; Lam, Vy; Yin, John; Rawlings, James B. Image-guided modeling of virus growth and spread. (English) Zbl 1166.92027 Bull. Math. Biol. 70, No. 6, 1730-1748 (2008). MSC: 92C50 92C37 35K57 93A30 35Q92 PDF BibTeX XML Cite \textit{E. L. Haseltine} et al., Bull. Math. Biol. 70, No. 6, 1730--1748 (2008; Zbl 1166.92027) Full Text: DOI Link OpenURL
de Leenheer, Patrick; Pilyugin, Sergei S. Multistrain virus dynamics with mutations: a global analysis. (English) Zbl 1162.92021 Math. Med. Biol. 25, No. 4, 285-322 (2008). MSC: 92C50 37N25 34D23 92C60 37J40 34E10 PDF BibTeX XML Cite \textit{P. de Leenheer} and \textit{S. S. Pilyugin}, Math. Med. Biol. 25, No. 4, 285--322 (2008; Zbl 1162.92021) Full Text: DOI arXiv OpenURL
Yi, Li; Fengzhi, Li; Qingyong, Zhu Numerical simulation of virus diffusion in facemask during breathing cycles. (English) Zbl 1188.76287 Int. J. Heat Mass Transfer 48, No. 19-20, 4229-4242 (2005). MSC: 76Z05 76R50 92C35 PDF BibTeX XML Cite \textit{L. Yi} et al., Int. J. Heat Mass Transfer 48, No. 19--20, 4229--4242 (2005; Zbl 1188.76287) Full Text: DOI Link OpenURL
Tullis, Richard H.; Scamurra, David O.; Ambrus, Julian L. jun. Affinity hemodialysis for antiviral therapy with specific application to HIV. (English) Zbl 1052.92033 J. Theor. Med. 4, No. 3, 157-166 (2002). MSC: 92C50 PDF BibTeX XML Cite \textit{R. H. Tullis} et al., J. Theor. Med. 4, No. 3, 157--166 (2002; Zbl 1052.92033) Full Text: DOI EuDML OpenURL
Tuckwell, H. C.; Wan, F. Y. M. First passage time to detection in stochastic population dynamical models for HIV-1. (English) Zbl 0962.92024 Appl. Math. Lett. 13, No. 5, 79-83 (2000). MSC: 92C50 60J70 92C60 PDF BibTeX XML Cite \textit{H. C. Tuckwell} and \textit{F. Y. M. Wan}, Appl. Math. Lett. 13, No. 5, 79--83 (2000; Zbl 0962.92024) Full Text: DOI OpenURL
Fitzgibbon, William E.; Langlais, Michel The description of the geographic spread of infectious disease. (English) Zbl 0908.92027 Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 791-799 (1997). MSC: 92D30 35Q92 PDF BibTeX XML Cite \textit{W. E. Fitzgibbon} and \textit{M. Langlais}, in: Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997. Chichester: John Wiley \& Sons. 791--799 (1997; Zbl 0908.92027) OpenURL
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Hyman, James M.; Stanley, E. Ann Using mathematical models to understand the AIDS epidemic. (English) Zbl 0727.92025 Math. Biosci. 90, No. 1-2, 415-473 (1988). MSC: 92D30 92C60 PDF BibTeX XML Cite \textit{J. M. Hyman} and \textit{E. A. Stanley}, Math. Biosci. 90, No. 1--2, 415--473 (1988; Zbl 0727.92025) Full Text: DOI OpenURL