A deep learning-based model for the propagation mechanism of southern corn rust

Keqin Su , Alain Miranville , Jie Cao , Xinguang Yang

Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (3) : 1653 -1670.

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Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (3) :1653 -1670. DOI: 10.3934/era.2026075
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A deep learning-based model for the propagation mechanism of southern corn rust
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Abstract

A new mathematical model based on differential equations and deep learning is proposed to study the propagation mechanism of southern corn rust (SCR). Equilibrium and stability analyses of system are conducted in detail. Compared with the quantitative assessment of SCR, numerical parameter estimation and the corresponding interpretation are given.

Keywords

southern corn rust / mathematical modeling / deep learning

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Keqin Su, Alain Miranville, Jie Cao, Xinguang Yang. A deep learning-based model for the propagation mechanism of southern corn rust. Electronic Research Archive, 2026, 34 (3) : 1653-1670 DOI:10.3934/era.2026075

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References

[1]

L.M.Underwood, Some new fungi chiefly from Alabama, Bull.Torrey Bot.Club, 24(1897), 81-86. https://doi.org/10.2307/2477799

[2]

D.R.Duan,H.Z.He, Description of a rust Puccinia polysoraon corn in Hainan Island, Acta Mycol.Sin., 32(1984), 125-126.

[3]

C.Casela,R.Renfro,A.F.Krattiger, Diagnosing maize diseases in Latin America,in ISAAA Briefs No.9 ,ISAAA:Ithaca,NY and EMBRAPA,Brasilia,(1998), 57.

[4]

X.F.Liu,J.Y.Xu,Y.L.Gu,Q.Y.Sun,W.Y.Yuan,Z.H.Ma, Occurrence of Puccinia polysoracausing southern corn rust in the northeast Huanghuaihai region of China , Plant Dis., 102(2018), 826. https://doi.org/10.1094/PDIS-05-17-0646-PDN

[5]

J.Liu,Y.Jiang,J.Zeng,G.Ji,L.Liu,K.Qiu, et al., Analysis of the severe occurrence characteristics and causes of southern corn rust in China in 2015, China Plant Prot., 36(2016), 44-47. https://doi.org/10.3969/j.issn.1672-6820.2016.05.011

[6]

J.Unartngam,P.Janruang,C.To-anan, Genetic diversity of Puccinia polysorain Thailand based on ISSR markers , Int.J.Agric.Technol., 7(2011), 1125-1137.

[7]

X.Yang,X.L.Ding,Z.L.He,Z.H.Ma, Determination of temperature required by southern corn rust, Plant Prot., 41(2015), 145-147. https://doi.org/10.3969/j.issn.0529-1542.2015.05.026

[8]

J.L.Brewbaker,S.K.Kim,Y.S.So,M.Logroño,H.G.Moon,R.Ming, et al., General resistance in maize to southern rust(Puccinia polysora underw.) , Crop Sci., 51(2011), 1393-1409. https://doi.org/10.2135/cropsci2010.06.0327

[9]

S.Wang,R.Y.Zhang,Z.Shi,Y.X.Zhao,A.G.Su, Identification and fine mapping of RppM,a southern corn rust resistance gene in maize, Front.Plant Sci., 11(2020), 1057. https://doi.org/10.3389/fpls.2020.01057

[10]

L.M.Contreras-Medina,I.Torres-Pacheco,R.G.Guevara-González,R.J.Romero-Troncoso,I.R.Terol-Villalobos,R.A.Osornio-Rios, Mathematical modeling tendencies in plant pathology, Afr.J.Biotechnol., 8(2009), 7399-7408. https://doi.org/10.4314/ajb.v8i25

[11]

D.G.Jones, The Epidemiology of Plant Diseases ,Kluwer Academic Publishers,Dordrecht, 1998.

[12]

L.V.Madden, Botanical epidemiology:some key advances and its continuing role in disease management, Eur.J.Plant Pathol., 115(2006), 3-23. https://doi.org/10.1007/s10658-005-1229-5

[13]

A.van Maanen,X.M.Xu, Modelling plant disease epidemics, Eur.J.Plant Pathol., 109(2003), 669-682. https://doi.org/10.1023/A:1026018005613

[14]

G.N.Agrios, Plant Pathology ,Elsevier Academic Press,London, 2005.

[15]

T.Ji,I.Salotti,C.Dong,M.Li,V.Rossi, Modeling the effects of the environment and the host plant on the ripe rot of grapes,caused by the Colletotrichumspecies, Plants, 10(2021), 2288. https://doi.org/10.3390/plants10112288

[16]

L.V.Madden,M.J.Jeger,F.van den Bosch, A theoretical assessment of the effects of vector-virus transmission mechanism on plant virus disease epidemics, Phytopathology, 90(2000), 576-594. https://doi.org/10.1094/PHYTO.2000.90.6.576

[17]

M.Martcheva, An Introduction to Mathematical Epidemiology , Springer,New York, 2015. https://doi.org/10.1007/978-1-4899-7612-3

[18]

G.Wang,J.Yang,X.Li, An age-space structured cholera model linking within-and between-host dynamics with Neumann boundary condition, Z.Angew.Math.Phys., 74(2023), 14. https://doi.org/10.1007/s00033-023-02063-0

[19]

J.Yang,P.Jia,J.Wang,Z.Jin, Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera, J.Math.Biol., 87(2023), 71. https://doi.org/10.1007/s00285-023-02009-0

[20]

J.Wang, Mathematical models for cholera dynamics-A review, Microorganisms, 10(2022), 2358. https://doi.org/10.3390/microorganisms10122358

[21]

C.Yang,J.Wang, On the intrinsic dynamics of bacteria in waterborne infections, Math.Biosci., 296(2018), 71-81. https://doi.org/10.1016/j.mbs.2017.12.005

[22]

H.Sha,L.Zhu, Dynamic analysis of pattern and optimal control research of rumor propagation model on different networks, Inf.Process.Manage., 62(2025), 104016. https://doi.org/10.1016/j.ipm.2024.104016

[23]

T.Yang,L.Zhu,S.Shen,L.He, Pattern dynamics analysis and parameter identification of spatiotemporal infectious disease models on complex networks, Math.Biosci., 387(2025), 109502. https://doi.org/10.1016/j.mbs.2025.109502

[24]

L.Zhu,T.Zheng, Pattern dynamics analysis and application of West Nile virus spatiotemporal models based on higher-order network topology, Bull.Mathe.Biol., 87(2025), 121. https://doi.org/10.1007/s11538-025-01501-6

[25]

P.van den Driessche,J.Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math.Biosci., 180(2002), 29-48. https://doi.org/10.1016/S0025-5564(02)00108-6

[26]

W.Wang,X.Q.Zhao, Threshold dynamics for compartmental epidemic models in periodic environments, J.Dyn.Differ.Equations, 20(2008), 699-717. https://doi.org/10.1007/s10884-008-9111-8

[27]

N.J.Cunniffe,R.O.J.H.Stutt,F.van den Bosch,C.A.Gilligan, ime-dependent infectivity and flexible latent and infectious periods in compartmental models of plant disease, Anal.Theor.Plant Pathol., 102(2012), 365-380. https://doi.org/10.1094/PHYTO-12-10-0338

[28]

C.A.Gilligan,An epidemiological framework for disease management, Adv.Bot.Res. , 38(2002), 1-57. https://doi.org/10.1016/S0065-2296(02)38027-3

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