A mathematical model for tilapia lake virus transmission with waning immunity

References

• S.K.K. Amponsah, B. Asiedu, and P. Failler, Population parameters of oreochromis niloticus (l) from a semi-open lagoon (Sakumo II), Ghana and its implications on management, Egyptian J. Aquat. Biol. Fish. 24(2) (2020), pp. 195–207.
   Google Scholar
• E. Bacharach, N. Mishra, T. Briese, M. C. Zody, J. E. Kembou Tsofack, R. Zamostiano, A. Berkowitz, J. Ng, A. Nitido, A. Corvelo, N. C. Toussaint, S. C. Abel Nielsen, M. Hornig, J. Del Pozo, T. Bloom, H. Ferguson, A. Eldar, W. I. Lipkin, C. A. Biron, E. Holmes, and C. Calisher, Characterization of a novel orthomyxo-like virus causing mass die-offs of tilapia, MBio 7(2) (2016), pp. 5561.
   Web of Science ®Google Scholar
• C. Beaumont, J.-B. Burie, A. Ducrot, and P. Zongo, Propagation of Salmonella within an industrial hen house, SIAM J. Appl. Math. 72(4) (2012), pp. 1113–1148.
   Web of Science ®Google Scholar
• B.K. Behera, P.K. Pradhan, T.R. Swaminathan, N. Sood, P. Paria, A. Das, D.K. Verma, R. Kumar, M.K. Yadav, A.K. Dev, P.K. Parida, B.K. Das, K.K. Lal, and J.K. Jena, Emergence of tilapia lake virus associated with mortalities of farmed Nile tilapia Oreochromis niloticus (Linnaeus 1758) in India, Aquaculture 484 (2018), pp. 168–174.
   Web of Science ®Google Scholar
• S. Bhattacharya and F.R. Adler, A time since recovery model with varying rates of loss of immunity, Bullet. Math. Biol. 74(12) (2012), pp. 2810–2819.
   PubMed Web of Science ®Google Scholar
• K.B. Blyuss and Y.N. Kyrychko, Stability and bifurcations in an epidemic model with varying immunity period, Bullet. Math. Biol. 72(2) (2010), pp. 490–505.
   PubMed Web of Science ®Google Scholar
• F. Brauer, Z. Shuai, and P. van den Driessche, Dynamics of an age-of-infection cholera model, Math. Biosci. Eng. 10(5–6) (2013), pp. 1335–1349.
   PubMed Web of Science ®Google Scholar
• Y. Cai, Y. Kang, M. Banerjee, and W. Wang, Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment, Nonlinear Anal.: Real World Appl. 40 (2018), pp. 444–465.
   Web of Science ®Google Scholar
• S.B. Chakraborty and B. Samir, Comparative growth performance of mixed-sex and monosex Nile tilapia at various stocking densities during cage culture, Recent Res. Sci. Technol. 4(11) (2012), pp. 46–50.
   Google Scholar
• N. Dinh-Hung, P. Sangpo, T. Kruangkum, P. Kayansamruaj, T. Rung-ruangkijkrai, S. Senapin, C.Rodkhum, and H.T. Dong, Dissecting the localization of tilapia tilapinevirus in the brain of the experimentally infected Nile tilapia, Oreochromis niloticus (l.), J. Fish Dis. 44(8) (2021), pp. 1053–1064.
   PubMed Web of Science ®Google Scholar
• H.T. Dong, S. Senapin, W. Gangnonngiw, V.V. Nguyen, C. Rodkhum, P.P. Debnath, J.Delamare-Deboutteville, and C.V. Mohan, Experimental infection reveals transmission of tilapia lake virus (tilv) from tilapia broodstock to their reproductive organs and fertilized eggs, Aquaculture 515 (2020), pp. 734541.
   Google Scholar
• H.T. Dong, S. Siriroob, W. Meemetta, W. Santimanawong, W. Gangnonngiw, N. Pirarat, P. Khunrae, T. Rattanarojpong, R. Vanichviriyakit, and S. Senapin, Emergence of tilapia lake virus in Thailand and an alternative semi-nested rt-pcr for detection, Aquaculture 476 (2017), pp. 111–118.
   Web of Science ®Google Scholar
• M. Eyngor, R. Zamostiano, J.E. Kembou Tsofack, A. Berkowitz, H. Bercovier, S. Tinman, M. Lev, A.Hurvitz, M. Galeotti, E. Bacharach, and A. Eldar, Identification of a novel RNA virus lethal to tilapia, J. Clin. Microbiol. 52(12) (2014), pp. 4137–4146.
   PubMed Web of Science ®Google Scholar
• M. Firdaus-Nawi and M. Zamri-Saad, Major components of fish immunity: A review, Pertanika J. Trop. Agric. Sci. 39(4) (2016), pp. 393–420.
   Google Scholar
• A. Gandolfi, A. Pugliese, and C. Sinisgalli, Epidemic dynamics and host immune response: A nested approach, J. Math. Biol. 70(3) (2015), pp. 399–435.
   PubMed Web of Science ®Google Scholar
• M.G.M. Gomes, L.J. White, and G.F. Medley, Infection, reinfection, and vaccination under suboptimal immune protection: Epidemiological perspectives, J. Theor. Biol. 228(4) (2004), pp. 539–549.
   PubMed Web of Science ®Google Scholar
• H. Gulbudak, V.L. Cannataro, N. Tuncer, and M. Martcheva, Vector-borne pathogen and host evolution in a structured immuno-epidemiological system, Bullet. Math. Biol. 79(2) (2017), pp. 325–355.
   PubMed Web of Science ®Google Scholar
• A. Ivan, Z. Thaddeus, I. Andrew, N. K. Howard, M. Norman, B. Steven, N. Mujibu, D. B. Sylvester, L. N. H. David, and E. Jackson, Effect of stocking density on growth and survival of Nile tilapia (Oreochromis niloticus, Linnaeus 1758) under cage culture in Lake Albert, Uganda, Int. J. Fish. Aquac.12(2) (2020), pp. 26–35.
   Google Scholar
• C. Kenne, R. Dorville, G. Mophou, and P. Zongo, An age-structured model for tilapia lake virus transmission in freshwater with vertical and horizontal transmission, Bullet. Math. Biol. 83(90) (2021), pp. 1–35.
   Google Scholar
• G.W. Litman, J.P. Rast, and S.D. Fugmann, The origins of vertebrate adaptive immunity, Nat. Rev. Immunol. 10(8) (2010), pp. 543–553.
   PubMed Web of Science ®Google Scholar
• P. Magal, C.C. McCluskey, and G.F. Webb, Lyapunov functional and global asymptotic stability for an infection-age model, Appl. Anal. 89(7) (2010), pp. 1109–1140.
   Web of Science ®Google Scholar
• P. Magal, O. Seydi, and F.-B. Wang, Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models, J. Math. Anal. Appl. 479(1) (2019), pp. 450–481.
   Web of Science ®Google Scholar
• B. Magnadóttir, Innate immunity of fish (overview), Fish Shellfish Immunol. 20(2) (2006), pp. 137–151.
   PubMed Web of Science ®Google Scholar
• M. Martcheva and H.R. Thieme, Progression age enhanced backward bifurcation in an epidemic model with super-infection, J. Math. Biol. 46(5) (2003), pp. 385–424.
   PubMed Web of Science ®Google Scholar
• K.K. Mugimba, M. Lamkhannat, S. Dubey, S. Mutoloki, H.M. Munangandu, and O. Evensen, Tilapia lake virus downplays innate immune responses during early stage of infection in Nile tilapia (Oreochromis niloticus), Scientific Reports 10(1) (2020), pp. 1–12.
   PubMed Web of Science ®Google Scholar
• R.A. Myers, K.G. Bowen, and N.J. Barrowman, Maximum reproductive rate of fish at low population sizes, Canadian Journal of Fisheries and Aquatic Sciences 56(12) (1999), pp. 2404–2419.
   Web of Science ®Google Scholar
• K. Okuwa, H. Inaba, and T. Kuniya, An age-structured epidemic model with boosting and waning of immune status, Math. Biosci. Eng. 18(5) (2021), pp. 5707–5736.
   PubMed Web of Science ®Google Scholar
• D. Pokorova, T. Vesely, V. Piackova, S. Reschova, and J. Hulova, Current knowledge on koi herpesvirus (khv): a review, Vet. Med. Czech 50(4) (2005), pp. 139–148.
   Web of Science ®Google Scholar
• M. Rafiq I. Sarder, K.D. Thompson, D.J. Penman, and B.J. McAndrew, Immune responses of Nile tilapia (Oreochromis niloticus l.) clones: I. Non-specific responses, Developmental $\mathrm{\&}$ Comparative Immunology 25(1) (2001), pp. 37–46.
   PubMed Web of Science ®Google Scholar
• Q. Richard, M. Choisy, T. Lefèvre, and R. Djidjou-Demasse, Human-vector malaria transmission model structured by age, time since infection and waning immunity, Nonlinear Analysis: Real World Applications 63 (2022), pp. 103393.
   Google Scholar
• M. Rubio-Godoy, Teleost fish immunology. review, Revista Mexicana De Ciencias Pecuarias 1(1) (2010), pp. 47–57.
   Web of Science ®Google Scholar
• T. Shimizu, N. Yoshida, H. Kasai, and M. Yoshimizu, Survival of koi herpesvirus (khv) in environmental water, Fish Pathology 41(4) (2006), pp. 153–157.
   Web of Science ®Google Scholar
• P. Tattiyapong, W. Dechavichitlead, T.B. Waltzek, and W. Surachetpong, Tilapia develop protective immunity including a humoral response following exposure to tilapia lake virus, Fish & Shellfish Immunology 106 (2020), pp. 666–674.
   PubMed Web of Science ®Google Scholar
• C. Uribe, H. Folch, R. Enríquez, and G.J.V.M. Moran, Innate and adaptive immunity in teleost fish: A review, Veterinarni Medicina 56(10) (2011), pp. 486–503.
   Web of Science ®Google Scholar
• J. Yamkasem, P. Tattiyapong, A. Kamlangdee, and W. Surachetpong, Evidence of potential vertical transmission of tilapia lake virus, J. Fish Dis. 42(9) (2019), pp. 1293–1300.
   PubMed Web of Science ®Google Scholar
• Y.-F. Yang, T.-H. Lu, H.-C. Lin, C.-Y. Chen, and C. Liao, Assessing the population transmission dynamics of tilapia lake virus in farmed tilapia, J. Fish Dis. 419 (2018), pp. 1439–1448.
   Google Scholar
• J. Yang, Z. Qiu, and X.-Z. Li, Global stability of an age-structured cholera model, Math. Biosci. Eng.11(3) (2014), pp. 641–665.
   PubMed Web of Science ®Google Scholar
• E. Yongo and N. Outa, Growth and population parameters of Nile tilapia, Oreochromis niloticus (L.) in the open waters of Lake Victoria, Kenya, Lakes & Reservoirs: Research & Management 21(4) (2016), pp. 375–379.
   Google Scholar
• W. Zeng, Y. Wang, X. Chen, Q. Wang, S.M. Bergmann, Y. Yang, Y. Wang, B. Li, Y. Lv, H. Li, and W.Lan, Potency and efficacy of vp20-based vaccine against tilapia lake virus using different prime-boost vaccination regimens in tilapia, Aquaculture 539 (2021), pp. 736654.
   Google Scholar