A fractional order co-infection model between malaria and filariasis epidemic

References

• Abdullahi, A. G., Alaku, I. A., & Hudu, S. B. (2015). Epidemiology of malaria and lymphatic filariasis; prevention and control under single disease control program in rural nasarawa state, nigeria. Epidemiology, 5(2), 55–57.
   Google Scholar
• Adegnika, A. A., Ramharter, M., Agnandji, S. T., Ateba Ngoa, U., Issifou, S., Yazdanbahksh, M., & Kremsner, P. G. (2010). Epidemiology of parasitic co-infections during pregnancy in lambaréné, gabon. Tropical Medicine & International Health, 15(10), 1204–1209. doi:10.1111/j.1365-3156.2010.02598.x
   PubMed Web of Science ®Google Scholar
• Ali, Z., Shah, K., Zada, A., & Kumam, P. (2020). Mathematical analysis of coupled systems with fractional order boundary conditions. Fractals, 28(08), 2040012. doi:10.1142/S0218348X20400125
   Google Scholar
• Alkahtani, B. S. T., & Atangana, A. (2016). Analysis of non-homogeneous heat model with new trend of derivative with fractional order. Chaos, Solitons & Fractals, 89, 566–571. doi:10.1016/j.chaos.2016.03.027
   Web of Science ®Google Scholar
• Alkhazzan, A., Wang, J., Nie, Y., Khan, H., & Alzabut, J. (2023). An effective transport-related svir stochastic epidemic model with media coverage and lévy noise. Chaos, Solitons & Fractals, 175, 113953. doi:10.1016/j.chaos.2023.113953
   Web of Science ®Google Scholar
• Alzabut, J., Dhineshbabu, R., Selvam, A. G. M., Gómez-Aguilar, J. F., & Khan, H. (2023). Existence, uniqueness and synchronization of a fractional tumor growth model in discrete time with numerical results. Results in Physics, 54, 107030. doi:10.1016/j.rinp.2023.107030
   Web of Science ®Google Scholar
• Amoah-Mensah, J., Dontwi, I., & Bonyah, E. (2018). Stability analysis of zika-malaria coinfection model for malaria endemic region. Journal of Advances in Mathematics and Computer Science, 26(1), 1–22. doi:10.9734/JAMCS/2018/37229
   Google Scholar
• Atangana, A., & Qureshi, S. (2019). Modeling attractors of chaotic dynamical systems with fractal–fractional operators. Chaos, Solitons & Fractals, 123, 320–337. doi:10.1016/j.chaos.2019.04.020
   Web of Science ®Google Scholar
• Bhunu, C., & Mushayabasa, S. (2012). Transmission dynamics of lymphatic filariasis: A mathematical approach. ISRN Biomathematics, 2012, 1–9. doi:10.5402/2012/930130
   Google Scholar
• Caputo, M. (1969). Elasticita e dissipazione. Bologna: Zanichelli.
   Google Scholar
• Caputo, M., & Fabrizio, M. (2015). A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation & Applications, 1(2), 73–85.
   Google Scholar
• Chandrakala, G., & Zulfeen, M. (2016). Filariasis in pregnancy: Prevalent yet less-known global health burden. Journal of Basic and Clinical Reproductive Sciences, 5(2), 107–109.
   Google Scholar
• Granas, A., & Dugundji, J. (2003). Fixed point theory (volume 14). New York: Springer.
   Google Scholar
• Khan, H., Alzabut, J., Shah, A., He, Z.-Y., Etemad, S., Rezapour, S., & Zada, A. (2023). On fractal-fractional waterborne disease model: A study on theoretical and numerical aspects of solutions via simulations. Fractals, 31(04), 2340055. doi:10.1142/S0218348X23400558
   Web of Science ®Google Scholar
• Khan, H., Alzabut, J., Tunç, O., & Kaabar, M. K. A. (2023). A fractal–fractional covid-19 model with a negative impact of quarantine on the diabetic patients. Results in Control and Optimization, 10, 100199. doi:10.1016/j.rico.2023.100199
   Google Scholar
• Khan, M. A., Atangana, A., Muhammad, T., & Alzahrani, E. (2021). Numerical solution of a fractal-fractional order chaotic circuit system. Revista Mexicana de Física, 67(5 Sep–Oct), 401. doi:10.31349/RevMexFis.67.051401
   Web of Science ®Google Scholar
• Kiryakova, V. S. (1993). Generalized fractional calculus and applications. Virginia: CRC Press.
   Google Scholar
• Kumar, A., & Kumar, S. (2022). A study on eco-epidemiological model with fractional operators. Chaos, Solitons & Fractals, 156, 111697. doi:10.1016/j.chaos.2021.111697
   Web of Science ®Google Scholar
• Kumar, S., Kumar, A., & Jleli, M. (2022). A numerical analysis for fractional model of the spread of pests in tea plants. Numerical Methods for Partial Differential Equations, 38(3), 540–565.
   Web of Science ®Google Scholar
• Kumar, S., Kumar, A., Samet, B., & Dutta, H. (2021). A study on fractional host–parasitoid population dynamical model to describe insect species. Numerical Methods for Partial Differential Equations, 37(2), 1673–1692. doi:10.1002/num.22603
   Web of Science ®Google Scholar
• Kumar, S., Kumar, A., Samet, B., Gómez-Aguilar, J. F., & Osman, M. S. (2020). A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Chaos, Solitons & Fractals, 141, 110321. doi:10.1016/j.chaos.2020.110321
   Web of Science ®Google Scholar
• Li, Z., Liu, Z., & Khan, M. A. (2020). Fractional investigation of bank data with fractal-fractional caputo derivative. Chaos, Solitons & Fractals, 131, 109528. doi:10.1016/j.chaos.2019.109528
   Web of Science ®Google Scholar
• Losada, J., & Nieto, J. J. (2015). Properties of a new fractional derivative without singular kernel. Progress in Fractional Differentiation and Applications, 1(2), 87–92.
   Google Scholar
• Mainardi, F. (2012). Fractional calculus: some basic problems in continuum and statistical mechanics. arXiv preprint arXiv:1201.0863,.
   Google Scholar
• Miller, K. S., & Ross, B. (1993). An introduction to the fractional calculus and fractional differential equations. New York: Wiley.
   Google Scholar
• Mutua, J. M., Wang, F.-B., & Vaidya, N. K. (2015). Modeling malaria and typhoid fever co-infection dynamics. Mathematical Biosciences, 264, 128–144. doi:10.1016/j.mbs.2015.03.014
   PubMed Web of Science ®Google Scholar
• Nzeako, S. O., Okunnuga, O. H., Nduka, F. O., & Ezenwaka, C. O. (2016). Lymphatic filariasis and malaria awareness amongst residents of port harcourt metropolis. International Journal of Applied Science Research and Review, 3(6), 6.
   Google Scholar
• Ogunmiloro, O. M. (2019). Local and global asymptotic behavior of malaria-filariasis coinfections in compliant and noncompliant susceptible pregnant women to antenatal medical program in the tropics. E-Journal of Analysis and Applied Mathematics, 2019(1), 31–54. doi:10.2478/ejaam-2019-0003
   Google Scholar
• Okosun, O. K., & Makinde, O. D. (2014). A co-infection model of malaria and cholera diseases with optimal control. Mathematical Biosciences, 258, 19–32. doi:10.1016/j.mbs.2014.09.008
   PubMed Web of Science ®Google Scholar
• Sabatier, J., Agrawal, O. P., & Machado, J. A T. (2007). Advances in fractional calculus, volume 4. Dordrecht: Springer.
   Google Scholar
• The MathWorks Inc. (2016). Matlab version: 9.0 (r2016a), 2016.
   Google Scholar
• Uçar, S., Uçar, E., Özdemir, N., & Hammouch, Z. (2019). Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative. Chaos, Solitons & Fractals, 118, 300–306. doi:10.1016/j.chaos.2018.12.003
   Web of Science ®Google Scholar
• World Health Organization (WHO). n.d. Fact sheet on malaria. https://www.who.int/malaria/media/world-malaria-day-2018/en/.
   Google Scholar
• Xu, Changjin, Saifullah, Sayed, Ali, Amir, Adnan,. Theoretical and numerical aspects of rubella disease model involving fractal fractional exponential decay kernel. Results in Physics, 34:105287, 2022. doi:10.1016/j.rinp.2022.105287
   Web of Science ®Google Scholar