Recent articles published in 'Mathematical Modelling of Natural Phenomena'

Recent articles published in 'Mathematical Modelling of Natural Phenomena' https://www.mmnp-journal.org Recent articles published in 'Mathematical Modelling of Natural Phenomena' daily 1 2026-04-27T22:50:44Z EDP Sciences Copyright (c) EDP Sciences 2026 Copyright (c) EDP Sciences 2026 0973-5348 Mathematical Modelling of Natural Phenomena Combined hormone and brachy therapies for the treatment of prostate cancer https://www.mmnp-journal.org/10.1051/mmnp/2023038 Authors: Salma Chabbar, Abderrahmane Habbal, Rajae Aboulaich, Nabil Ismaili and Sanaa El Majjaoui. Mathematical Modelling of Natural Phenomena Vol. 21 , page 5 Published online: 17/03/2026 Keywords: Tumor growth ; PDE model ; numerical simulations ; androgen deprivation therapy ; brachytherap ; combined treatment.35Q92 ; 35Q80 ; 92C50 ; 74F10. Combined hormone and brachy therapies for the treatment of prostate cancer Salma Chabbar Abderrahmane Habbal Rajae Aboulaich Nabil Ismaili Sanaa El Majjaoui Tumor growth PDE model numerical simulations androgen deprivation therapy brachytherap combined treatment 35Q92 35Q80 92C50 74F10 2026-03-17 text/html 10.1051/mmnp/2023038 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-03-17 Mathematical Modelling of Natural Phenomena 5 21 Impact of temperature change on the population dynamics of the maize pest Busseola fusca https://www.mmnp-journal.org/10.1051/mmnp/2025003 Authors: J. P. Ntahomvukiye, G. Kolaye, S. Bowong and J. Kurths. Mathematical Modelling of Natural Phenomena Vol. 21 , page 4 Published online: 27/02/2026 Keywords: Busseola fusca ; Zea mays ; mathematical models ; climatic factors ; stability.92D40 ; 92D45 ; 34D20 ; 37N25. Impact of temperature change on the population dynamics of the maize pest Busseola fusca J. P. Ntahomvukiye G. Kolaye S. Bowong J. Kurths Busseola fusca Zea mays mathematical models climatic factors stability 92D40 92D45 34D20 37N25 2026-02-27 text/html 10.1051/mmnp/2025003 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-02-27 Mathematical Modelling of Natural Phenomena 4 21 Unraveling the Hemodynamic Impact of Persistent Iliac Vein Lesions and Physical Therapy Post-Stenting https://www.mmnp-journal.org/10.1051/mmnp/2025013 Authors: Zhenmin Fan, Jian Lu, Robert Guidoin, Xiaoyan Deng, Xia Ye and Zhixiang Zhang. Mathematical Modelling of Natural Phenomena Vol. 21 , page 10 Published online: 23/03/2026 Keywords: Iliac vein compression syndrome ; deep vein thrombus ; stenting ; hemodynamics ; exercise ; lesion.76-XX ; 76Zxx. Unraveling the Hemodynamic Impact of Persistent Iliac Vein Lesions and Physical Therapy Post-Stenting Zhenmin Fan Jian Lu Robert Guidoin Xiaoyan Deng Xia Ye Zhixiang Zhang Iliac vein compression syndrome deep vein thrombus stenting hemodynamics exercise lesion 76-XX 76Zxx 2026-03-23 text/html 10.1051/mmnp/2025013 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-03-23 Mathematical Modelling of Natural Phenomena 10 21 Self-foldability of Dürer net models of viral capsids: Exploring nanocapsule design via 4D printing https://www.mmnp-journal.org/10.1051/mmnp/2025024 Authors: John R. Jungck, Stephen Brittain, Donald Plante, Joseph Yarbrough and Caitlyn Zeller. Mathematical Modelling of Natural Phenomena Vol. 21 , page 6 Published online: 17/03/2026 Keywords: Viral capsids ; Dürer nets ; polyhedra ; self-folding ; four-dimensional printing ; vertex connections ; spanning trees ; regression ; origami ; drug nanocapsules.92B05. Self-foldability of Dürer net models of viral capsids: Exploring nanocapsule design via 4D printing John R. Jungck Stephen Brittain Donald Plante Joseph Yarbrough Caitlyn Zeller Viral capsids Dürer nets polyhedra self-folding four-dimensional printing vertex connections spanning trees regression origami drug nanocapsules 92B05 2026-03-17 text/html 10.1051/mmnp/2025024 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-03-17 Mathematical Modelling of Natural Phenomena 6 21 An extension of sellke construction and uncertainty quantification for non-Markovian epidemic models https://www.mmnp-journal.org/10.1051/mmnp/2025027 Authors: Henri Mermoz Kouye, Clémentine Prieur and Elisabeta Vergu. Mathematical Modelling of Natural Phenomena Vol. 21 , page 2 Published online: 24/02/2026 Keywords: Sellke construction ; compartmental models ; non-Markovian epidemic process ; global sensitivity analysis.92D30 ; 60G55 ; 65C05. An extension of sellke construction and uncertainty quantification for non-Markovian epidemic models Henri Mermoz Kouye Clémentine Prieur Elisabeta Vergu Sellke construction compartmental models non-Markovian epidemic process global sensitivity analysis 92D30 60G55 65C05 2026-02-24 text/html 10.1051/mmnp/2025027 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-02-24 Mathematical Modelling of Natural Phenomena 2 21 In silico phase-field modeling of cell directed migration towards environments of lower or higher adhesion https://www.mmnp-journal.org/10.1051/mmnp/2025028 Authors: Lucas Curci, Valentine Seveau de Noray, Olivier Theodoly, Marie-Pierre Valignat, Florence Hubert and Julien Olivier. Mathematical Modelling of Natural Phenomena Vol. 21 , page 15 Published online: 22/04/2026 Keywords: Haptotaxis ; adhesion ; directed cell migration ; phase field models.35Q92 ; 92C37 ; 65M08. In silico phase-field modeling of cell directed migration towards environments of lower or higher adhesion Lucas Curci Valentine Seveau de Noray Olivier Theodoly Marie-Pierre Valignat Florence Hubert Julien Olivier Haptotaxis adhesion directed cell migration phase field models 35Q92 92C37 65M08 2026-04-22 text/html 10.1051/mmnp/2025028 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-22 Mathematical Modelling of Natural Phenomena 15 21 A conservative two-phase flow model with a nonlinear degenerate diffusion https://www.mmnp-journal.org/10.1051/mmnp/2025031 Authors: Gloria Faccanoni, Cédric Galusinski and Bérénice Grec. Mathematical Modelling of Natural Phenomena Vol. 21 , page 1 Published online: 03/02/2026 Keywords: Liquid–vapor phase transition ; generalized Stefan problem ; nonlinear degenerate diffusion ; numerical schemes ; discontinuity propagation.35Q35 ; 35Q79 ; 65M25 ; 76T10. A conservative two-phase flow model with a nonlinear degenerate diffusion Gloria Faccanoni Cédric Galusinski Bérénice Grec Liquid–vapor phase transition generalized Stefan problem nonlinear degenerate diffusion numerical schemes discontinuity propagation 35Q35 35Q79 65M25 76T10 2026-02-03 text/html 10.1051/mmnp/2025031 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-02-03 Mathematical Modelling of Natural Phenomena 1 21 A new class of high-dimensional partially linear varying coefficient model and its applications https://www.mmnp-journal.org/10.1051/mmnp/2026001 Authors: Jie Zhou, Aifen Feng, Jiaxin Fu, Zhengfen Jin and Mengmeng Zhao. Mathematical Modelling of Natural Phenomena Vol. 21 , page 3 Published online: 24/02/2026 Keywords: Partially linear varying coefficient model ; adaptive elastic net ; ADMM ; variable selection.90C06 ; 90C25 ; 90C30 ; 62J05. A new class of high-dimensional partially linear varying coefficient model and its applications Jie Zhou Aifen Feng Jiaxin Fu Zhengfen Jin Mengmeng Zhao Partially linear varying coefficient model adaptive elastic net ADMM variable selection 90C06 90C25 90C30 62J05 2026-02-24 text/html 10.1051/mmnp/2026001 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-02-24 Mathematical Modelling of Natural Phenomena 3 21 Mathematical modelling of the contribution of senescent fibroblasts to basement membrane digestion during carcinoma invasion https://www.mmnp-journal.org/10.1051/mmnp/2026002 Authors: Luis Almeida, Alexandre Poulain, Albin Pourtier and Chiara Villa. Mathematical Modelling of Natural Phenomena Vol. 21 , page 11 Published online: 06/04/2026 Keywords: Cancer and senescence ; mathematical modelling ; cancer progression.92.10 ; 35Q92. Mathematical modelling of the contribution of senescent fibroblasts to basement membrane digestion during carcinoma invasion Luis Almeida Alexandre Poulain Albin Pourtier Chiara Villa Cancer and senescence mathematical modelling cancer progression 92.10 35Q92 2026-04-06 text/html 10.1051/mmnp/2026002 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-06 Mathematical Modelling of Natural Phenomena 11 21 Stability and Bifurcation in an Age-Structured Predator–Prey System with Beddington–Deangelis Response, Constant Prey Harvesting, and Two Delays https://www.mmnp-journal.org/10.1051/mmnp/2026006 Authors: Dongxue Yan, Yongxian Jin and Yuan Yuan. Mathematical Modelling of Natural Phenomena Vol. 21 , page 9 Published online: 23/03/2026 Keywords: Age-structured predator–prey model ; time delay ; constant prey harvesting ; Hopf bifurcation.92D25 ; 34K20 ; 35Q92. Stability and Bifurcation in an Age-Structured Predator–Prey System with Beddington–Deangelis Response, Constant Prey Harvesting, and Two Delays Dongxue Yan Yongxian Jin Yuan Yuan Age-structured predator–prey model time delay constant prey harvesting Hopf bifurcation 92D25 34K20 35Q92 2026-03-23 text/html 10.1051/mmnp/2026006 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-03-23 Mathematical Modelling of Natural Phenomena 9 21 Stability Analysis of a Stochastic Unemployment Model https://www.mmnp-journal.org/10.1051/mmnp/2026003 Authors: Oumaima Aarabate and Omar Balatif. Mathematical Modelling of Natural Phenomena Vol. 21 , page 8 Published online: 23/03/2026 Keywords: Brownien motion ; stochastic unemployment model ; asymptotic behavior ; stochastic Lyapunov function.60H10 ; 60J65 ; 37H30 ; 34F05. Stability Analysis of a Stochastic Unemployment Model Oumaima Aarabate Omar Balatif Brownien motion stochastic unemployment model asymptotic behavior stochastic Lyapunov function 60H10 60J65 37H30 34F05 2026-03-23 text/html 10.1051/mmnp/2026003 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-03-23 Mathematical Modelling of Natural Phenomena 8 21 Mathematical model for immune checkpoint inhibitors with delayed responses https://www.mmnp-journal.org/10.1051/mmnp/2026004 Authors: Collin Y. Zheng, Danya B. Rose and Peter S. Kim. Mathematical Modelling of Natural Phenomena Vol. 21 , page 13 Published online: 13/04/2026 Keywords: Ordinary differential equations ; checkpoint blockades ; checkpoint inhibitors ; fast-slow dynamics ; immunotherapy ; CTLA-4 ; PD-1 ; combination treatments.92-10 ; 92C50. Mathematical model for immune checkpoint inhibitors with delayed responses Collin Y. Zheng Danya B. Rose Peter S. Kim Ordinary differential equations checkpoint blockades checkpoint inhibitors fast-slow dynamics immunotherapy CTLA-4 PD-1 combination treatments 92-10 92C50 2026-04-13 text/html 10.1051/mmnp/2026004 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-13 Mathematical Modelling of Natural Phenomena 13 21 Mathematical Modeling of Malaria and Typhoid Co-infection: Exploring Vector and Non-Vector Transmission Dynamics https://www.mmnp-journal.org/10.1051/mmnp/2026007 Authors: Queeneth Ojoma Ahman, Mary Bassey Okofu, Chioma Lydia Ejikeme, Emmanuel Olorunfemi Senewo and Benedict Celestine Agbata. Mathematical Modelling of Natural Phenomena Vol. 21 , page 12 Published online: 06/04/2026 Keywords: Reproduction number ; bifurcation analysis ; partial rank correlation coefficient ; sensitivity analysis ; epidemiological modeling.92D30 ; 92D25 ; 37N25 ; 65M70 ; 91B06. Mathematical Modeling of Malaria and Typhoid Co-infection: Exploring Vector and Non-Vector Transmission Dynamics Queeneth Ojoma Ahman Mary Bassey Okofu Chioma Lydia Ejikeme Emmanuel Olorunfemi Senewo Benedict Celestine Agbata Reproduction number bifurcation analysis partial rank correlation coefficient sensitivity analysis epidemiological modeling 92D30 92D25 37N25 65M70 91B06 2026-04-06 text/html 10.1051/mmnp/2026007 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-06 Mathematical Modelling of Natural Phenomena 12 21 Adaptation in shifting and size-changing environments under selection https://www.mmnp-journal.org/10.1051/mmnp/2026008 Authors: Matthieu Alfaro, Adel Blouza and Nessim Dhaouadi. Mathematical Modelling of Natural Phenomena Vol. 21 , page 7 Published online: 23/03/2026 Keywords: Dynamics of adaptation ; long time behavior ; periodic parabolic eigenelements ; finite elements approximation ; numerical simulation.35K57 ; 35P15 ; 65M06. Adaptation in shifting and size-changing environments under selection Matthieu Alfaro Adel Blouza Nessim Dhaouadi Dynamics of adaptation long time behavior periodic parabolic eigenelements finite elements approximation numerical simulation 35K57 35P15 65M06 2026-03-23 text/html 10.1051/mmnp/2026008 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-03-23 Mathematical Modelling of Natural Phenomena 7 21 Feedback stabilization for a spatial-dependent Sterile Insect Technique model with Allee Effect https://www.mmnp-journal.org/10.1051/mmnp/2026005 Authors: Kala Agbo Bidi, Luís Almeida and Jean-Michel Coron. Mathematical Modelling of Natural Phenomena Vol. 21 , page 18 Published online: 24/04/2026 Keywords: Vector borne disease ; mosquito population control ; feedback design ; backstepping feedback ; Lyapunov stability ; reaction-diffusion equations.93D15 ; 35A01 ; 35A02 ; 35K57. Feedback stabilization for a spatial-dependent Sterile Insect Technique model with Allee Effect Kala Agbo Bidi Luís Almeida Jean-Michel Coron Vector borne disease mosquito population control feedback design backstepping feedback Lyapunov stability reaction-diffusion equations 93D15 35A01 35A02 35K57 2026-04-24 text/html 10.1051/mmnp/2026005 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-24 Mathematical Modelling of Natural Phenomena 18 21 Dynamical analysis of a plant–herbivore model with double delay effect and double allee effect https://www.mmnp-journal.org/10.1051/mmnp/2026009 Authors: Xiaoquan Kong, Zhenjie Zhang and Ruizhi Yang. Mathematical Modelling of Natural Phenomena Vol. 21 , page 14 Published online: 13/04/2026 Keywords: Plant–herbivore ; double Allee effect ; double time delay ; global stability ; Hopf bifurcation.34K20 ; 34K18 ; 92D25. Dynamical analysis of a plant–herbivore model with double delay effect and double allee effect Xiaoquan Kong Zhenjie Zhang Ruizhi Yang Plant–herbivore double Allee effect double time delay global stability Hopf bifurcation 34K20 34K18 92D25 2026-04-13 text/html 10.1051/mmnp/2026009 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-13 Mathematical Modelling of Natural Phenomena 14 21 Conditional success of adaptive therapy: The role of treatment thresholds and non-existence of optimal strategies revealed by mathematical modelling and optimal control https://www.mmnp-journal.org/10.1051/mmnp/2026010 Authors: Lanfei Sun, Haifeng Zhang, Kai Kang, Xiaoxin Wang, Leyi Zhang, Yanan Cai, Lei Zhang and Changjing Zhuge. Mathematical Modelling of Natural Phenomena Vol. 21 , page 16 Published online: 22/04/2026 Keywords: Adaptive therapy ; treatment-holiday and treatment-restarting threshold ; cancer dynamics ; mathematical modelling ; cell competition.92C50 ; 92C42. Conditional success of adaptive therapy: The role of treatment thresholds and non-existence of optimal strategies revealed by mathematical modelling and optimal control Lanfei Sun Haifeng Zhang Kai Kang Xiaoxin Wang Leyi Zhang Yanan Cai Lei Zhang Changjing Zhuge Adaptive therapy treatment-holiday and treatment-restarting threshold cancer dynamics mathematical modelling cell competition 92C50 92C42 2026-04-22 text/html 10.1051/mmnp/2026010 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-22 Mathematical Modelling of Natural Phenomena 16 21 Dynamical analysis and numerical simulation of a reaction-diffusion model for microbial decomposition of organic matter in 3D soil structure https://www.mmnp-journal.org/10.1051/mmnp/2026011 Authors: Mohammed Elghandouri, Mouad Klai, Khalil Ezzinbi and Olivier Monga. Mathematical Modelling of Natural Phenomena Vol. 21 , page 17 Published online: 22/04/2026 Keywords: Biological dynamics in soil ; non-linear parabolic partial differential equations ; global attractor ; pore space modeling ; simulation in complex shapes.35A01 ; 35B41 ; 37C70 ; 65L12. Dynamical analysis and numerical simulation of a reaction-diffusion model for microbial decomposition of organic matter in 3D soil structure Mohammed Elghandouri Mouad Klai Khalil Ezzinbi Olivier Monga Biological dynamics in soil non-linear parabolic partial differential equations global attractor pore space modeling simulation in complex shapes 35A01 35B41 37C70 65L12 2026-04-22 text/html 10.1051/mmnp/2026011 Mathematical Modelling of Natural Phenomena Vol. 21 abstract mmnp/2026/01 2026-04-22 Mathematical Modelling of Natural Phenomena 17 21