65
Views
1
CrossRef citations to date
0
Altmetric
Research Article

Novel neuro-stochastic adaptive supervised learning for numerical treatment of nonlinear epidemic delay differential system with impact of double diseases

, , , &
Received 26 Aug 2023, Accepted 06 Jan 2024, Published online: 21 Jan 2024

References

  • Salim SS, Malinzi J, Mureithi E, et al. Mathematical modelling of chemovirotherapy cancer treatment. Int J Model Simulat. 2023;1–22. doi: 10.1080/02286203.2023.2204355
  • Raza A, Ali Q, Hussain T. Role of knowledge, behavior, norms, and e-guidelines in controlling the spread of COVID-19: evidence from Pakistan. Environ Sci Pollut Res. 2021;28(30):40329–40345. doi: 10.1007/s11356-020-10931-9
  • Biswas SK, Ghosh U, Sarkar S. A mathematical model of Zika virus transmission with saturated incidence and optimal control: a case study of 2016 zika outbreak in Puerto Rico. Int J Model Simulat. 2023;1–18. doi: 10.1080/02286203.2022.2163834
  • Li S, Guo S. Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps. Discrete Contin Dyn Syst-B. 2021;26(9):5101. doi: 10.3934/dcdsb.2020335
  • El Koufi A, Bennar A, El Koufi N, et al. Asymptotic properties of a stochastic SIQR epidemic model with Lévy jumps and Beddington-DeAngelis incidence rate. Results Phys. 2021;27:104472. doi: 10.1016/j.rinp.2021.104472
  • Qiu H, Deng W, Xiang M. Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps. Bound Value Probl. 2021;2021(1):1–17. doi: 10.1186/s13661-021-01509-6
  • Zhao D, Li Q. The long-time behaviors of non-autonomous stochastic Nicholson’s blowflies systems with patch structure and time delays. Int J Biomath. 2022;15(3):2150097. doi: 10.1142/S1793524521500972
  • El Fatini M, Boukanjime B. Stochastic analysis of a two delayed epidemic model incorporating lévy processes with a general non-linear transmission. Stochastic Anal Appl. 2020;38(3):387–402. doi: 10.1080/07362994.2019.1680295
  • Zou J, Upadhyay RK, Pratap A, et al. Dynamics of a delayed SIR model for the transmission of PRRSV among a swine population. Adv Differ Equations. 2020;2020(1):1–30. doi: 10.1186/s13662-020-02814-7
  • Sun H, Li H, Li J, et al. Dynamics of an SIRS model with age structure and two delays. Int J Biomath. 2021;14(7):2150056. doi: 10.1142/S179352452150056X
  • Lu H, Ding Y, Gong S, et al. Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19. Math Biosci Eng. 2021;18(4):3197–3214. doi: 10.3934/mbe.2021159
  • Shaikhet L. Improving stability conditions for equilibria of SIR epidemic model with delay under stochastic perturbations. Mathematics. 2020;8(8):1302. doi: 10.3390/math8081302
  • Ali I, Khan SU. Analysis of stochastic delayed SIRS model with exponential birth and saturated incidence rate. Chaos, Solitons & Fractals. 2020;138:110008. doi: 10.1016/j.chaos.2020.110008
  • Abbasi Z, Zamani I, Mehra AHA, et al. Optimal control of SEIR epidemic Model considering nonlinear transmission rate and time delay. In 2021 7th International Conference on Control, Instrumentation and Automation (ICCIA); Tabriz, Iran. IEEE; 2021. p. 1–5
  • Hsu SK, Li CY, Lin IL, et al. Inflammation-related pyroptosis, a novel programmed cell death pathway, and its crosstalk with immune therapy in cancer treatment. Theranostics. 2021;11(18):8813. doi: 10.7150/thno.62521
  • Nur W, Afni N, Bulawan S, et al. Mathematical Model of foot and mouth disease considering vaccination disinfection and early quarantine. Leibniz: Jurnal Matematika. 2023;3(1):1–15. doi: 10.59632/leibniz.v3i1.199
  • Traoré B, Koutou O, Sangaré B. A mathematical model of malaria transmission dynamics with general incidence function and maturation delay in a periodic environment. Lett Biomath. 2020;7(1):37–54.
  • Cao Z, Zhang J, Su H, et al. Threshold dynamics of a stochastic general SIRS epidemic model with migration. Math Biosci Eng. 2023;20(6):11212–11237. doi: 10.3934/mbe.2023497
  • Rihan FA, Alsakaji HJ. Dynamics of a stochastic delay differential model for COVID-19 infection with asymptomatic infected and interacting people: case study in the UAE. Results Phys. 2021;28:104658. doi: 10.1016/j.rinp.2021.104658
  • Liu S, Shen M, Bi Y. Global asymptotic behavior for mixed vaccination strategy in a delayed epidemic model with interim-immune. Math Biosci Eng. 2020;17(4):3601–3617. doi: 10.3934/mbe.2020203
  • Kumar A, Goel K. A deterministic time-delayed SIR epidemic model: mathematical modeling and analysis. Theory Biosci. 2020;139(1):67–76. doi: 10.1007/s12064-019-00300-7
  • Elaiw AM, Alshaikh MA, Farouk A. Stability of discrete-time latent pathogen dynamics model with delay and cellular infection. J Int Fuzzy Syst. 2020;38(3):2789–2799. doi: 10.3233/JIFS-179564
  • González-Parra G, Arenas AJ. Mathematical modeling of SARS-CoV-2 omicron wave under vaccination effects. Computation. 2023;11(2):36. doi: 10.3390/computation11020036
  • Moghaddam BP, Zhang L, Lopes AM, et al. Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations. Stochastics. 2020;92(3):379–396. doi: 10.1080/17442508.2019.1625903
  • Kumar A, Takeuchi Y, Srivastava PK. Stability switches, periodic oscillations and global stability in an infectious disease model with multiple time delays. Math Biosci Eng. 2023;20(6):11000–11032. doi: 10.3934/mbe.2023487
  • Casson N, Cameron L, Mauro I, et al. Perceptions of the health impacts of climate change among Canadians. BMC Public Health. 2023;23(1):1–13. doi: 10.1186/s12889-023-15105-z
  • Ng V, Rees EE, Lindsay LR, et al. Climate change and infectious diseases: the challenges: could exotic mosquito-borne diseases emerge in Canada with climate change? Can Commun Dis Rep. 2019;45(4):98. doi: 10.14745/ccdr.v45i04a04
  • Semenza JC, Rocklöv J, Ebi KL. Climate change and cascading risks from infectious disease. Infect Dis Ther. 2022;11(4):1371–1390. doi: 10.1007/s40121-022-00647-3
  • Agache I, Sampath V, Aguilera J, et al. Climate change and global health: a call to more research and more action. Allergy. 2022;77(5):1389–1407. doi: 10.1111/all.15229
  • Wu C, Yan LL, Long Q, et al. Trends in global health research among universities in China: a bibliometric analysis. Glob Health Res Policy. 2023;8(1):1–10. doi: 10.1186/s41256-023-00295-1
  • Rihan FA, Alsakaji HJ, Rajivganthi C. Stochastic SIRC epidemic model with time-delay for COVID-19. Adv Differ Equations. 2020;2020(1):1–20. doi: 10.1186/s13662-020-02964-8
  • Song H, Tian D, Shan C. Modeling the effect of temperature on dengue virus transmission with periodic delay differential equations. Math Biosci Eng. 2020;17(4):4147–4164. doi: 10.3934/mbe.2020230
  • Zhang L, Wang ZC, Zhao XQ. Time periodic traveling wave solutions for a kermack–McKendrick epidemic model with diffusion and seasonality. J Evol Equ. 2020;20(3):1029–1059. doi: 10.1007/s00028-019-00544-2
  • Shi X, Cao Y, Zhou X. Dynamics for a stochastic delayed SIRS epidemic model. Nonlinear analysis. Modelling And Control. 2020;25(5):705–725. doi: 10.15388/namc.2020.25.17804
  • Csomós P. Magnus-type integrator for semilinear delay equations with an application to epidemic models. J Comput Appl Math. 2020;363:92–105. doi: 10.1016/j.cam.2019.05.031
  • Majumder M, Tiwari PK, Pal S. Impact of saturated treatments on HIV-TB dual epidemic as a consequence of COVID-19: optimal control with awareness and treatment. Nonlinear Dyn. 2022;109(1):143–176. doi: 10.1007/s11071-022-07395-6
  • Alhojilan Y, Ahmed HM, Rabie WB. Stochastic solitons in birefringent fibers for Biswas–arshed equation with multiplicative white noise via Itô Calculus by modified extended mapping method. Symmetry. 2023;15(1):207. doi: 10.3390/sym15010207
  • Chen L, Yang J, Tan Y, et al. Stationary distribution and persistence of a stochastic mathematical model for prostate cancer with pulsed therapy. Appl Math Modell. 2023;114:162–188. doi: 10.1016/j.apm.2022.10.007
  • Majumder M, Tiwari PK, Pal S. Impact of nonlinear infection rate on HIV/AIDS considering prevalence‐dependent awareness. Math Methods Appl Sci. 2023;46(4):3821–3848. doi: 10.1002/mma.8723
  • Shoaib M, Anwar N, Ahmad I, et al. Neuro-computational intelligence for numerical treatment of multiple delays SEIR model of worms propagation in wireless sensor networks. Biomedical Signal Processing And Control. 2023;84:104797. doi: 10.1016/j.bspc.2023.104797
  • Anwar N, Shoaib M, Ahmad I, et al. Intelligent computing networks for nonlinear influenza-A epidemic model. Int J Biomath. 2023;16(4):2250097. doi: 10.1142/S1793524522500978
  • Weera W, Botmart T, La-Inchua T, et al. A stochastic computational scheme for the computer epidemic virus with delay effects. AIMS Math. 2023;8(1):148–163. doi: 10.3934/math.2023007
  • Asghar M, Ahmad I, Ilyas H, et al. Novel intelligent computing knacks for fuzzy dynamical model of vibrating mass system. Int J Modern Phys B. 2023;37(29):2350254. doi: 10.1142/S0217979223502545
  • Anwar N, Ahmad I, Kiani AK, et al. Intelligent solution predictive networks for non-linear tumor-immune delayed model. Comput Methods Biomech Biomed Engin. 2023;1–28. doi: 10.1080/10255842.2023.2227751
  • Shoaib M, Naz S, Nisar KS, et al. MHD Casson nanofluid in Darcy-Forchheimer porous medium in the presence of heat source and Arrhenius activation energy: applications of neural networks. Int J Model Simulat. 2023;43(4):438–461. doi: 10.1080/02286203.2022.2091973
  • Mehmood A, Raja MAZ, Jalili M. Optimization of integrated load dispatch in multi-fueled renewable rich power systems using fractal firefly algorithm. Energy. 2023;278:127792. doi: 10.1016/j.energy.2023.127792
  • Malik NA, Chaudhary NI, Raja MAZ. Firefly optimization heuristics for sustainable estimation in power system harmonics. Sustainability. 2023;15(6):4816. doi: 10.3390/su15064816
  • Malik MF, Chang CL, Chaudhary NI, et al. Swarming intelligence heuristics for fractional nonlinear autoregressive exogenous noise systems. Chaos, Solitons & Fractalsquery. 2023;167:113085. doi: 10.1016/j.chaos.2022.113085
  • Asghar SA, Naz S, Raja MAZ. Intelligent computing with the knack of Bayesian neural networks for functional differential systems in quantum calculus model. Int J Modern Phys B. 2023;37(22):2350217. doi: 10.1142/S021797922350217X
  • Liu Q, Jiang D, Hayat T, et al. Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases. J Franklin Inst. 2019;356(13):7466–7485. doi: 10.1016/j.jfranklin.2018.11.055
  • Sabir Z, Guirao JL. A soft computing scaled conjugate gradient procedure for the fractional order Majnun and Layla romantic story. Mathematics. 2023;11(4):835. doi: 10.3390/math11040835
  • Wang H, Fan J. Convergence rate of the Levenberg-Marquardt method under Hölderian local error bound. Optim Methods Software. 2020;35(4):767–786. doi: 10.1080/10556788.2019.1694927
  • Godding D, Stutt RO, Alicai T, et al. Developing a predictive model for an emerging epidemic on cassava in sub-saharan Africa. Sci Rep. 2023;13(1):12603. doi: 10.1038/s41598-023-38819-x
  • Sabir Z, Umar M. Levenberg-Marquardt backpropagation neural network procedures for the consumption of hard water-based kidney function. Int J Math Comput Sci. 2023;1(1):127–138. doi: 10.2478/ijmce-2023-0010
  • Hussein SA. Simulation and interpretation of MHD peristaltic transport of dissipated third grade nanofluid flow across asymmetric channel under the influences of rheological characteristics and inclined magnetic field as well as heat and mass convection. Int J Model Simulat. 2023;1–22. doi: 10.1080/02286203.2023.2240557
  • Ruttanaprommarin N, Sabir Z, Núñez RAS, et al. Artificial neural network procedures for the waterborne spread and control of diseases. AIMS Math. 2023;8(1):2435–2452. doi: 10.3934/math.2023126
  • Hasan MA, AL-Mekhlafi SM, Udhayakumar K, et al. Hybrid fractional-order optimal control problem for immuno-chemotherapy with gene therapy and time-delay: numerical treatments. Int J Model Simulat. 2023;1–25. doi: 10.1080/02286203.2023.2216621
  • Sabir Z, Said SB, Guirao JL. A radial basis scale conjugate gradient deep neural network for the monkeypox transmission system. Mathematics. 2023;11(4):975. doi: 10.3390/math11040975
  • Sun L, He Q, Teng Y, et al. A complex network-based vaccination strategy for infectious diseases. Appl Soft Comput. 2023;136:110081. doi: 10.1016/j.asoc.2023.110081

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.