Rodriguez, Carson; Robinson, Stephen B. Biological models, monotonicity methods, and solving a discrete reaction-diffusion equation. (English) Zbl 07821004 Involve 17, No. 1, 65-84 (2024). MSC: 39A27 39A12 37N25 92D25 PDFBibTeX XMLCite \textit{C. Rodriguez} and \textit{S. B. Robinson}, Involve 17, No. 1, 65--84 (2024; Zbl 07821004) Full Text: DOI
Hill, Dan J.; Bramburger, Jason J.; Lloyd, David J. B. Dihedral rings of patterns emerging from a Turing bifurcation. (English) Zbl 07807845 Nonlinearity 37, No. 3, Article ID 035015, 39 p. (2024). MSC: 35B32 35B36 35J47 35J61 35K57 37L65 34C37 PDFBibTeX XMLCite \textit{D. J. Hill} et al., Nonlinearity 37, No. 3, Article ID 035015, 39 p. (2024; Zbl 07807845) Full Text: DOI arXiv OA License
Nachaoui, Mourad; Laghrib, Amine; El Hakoume, Abdelmajid On theoretical result of a controlled \(p(x)\)-reaction diffusion equation for Poisson noise reduction. (English) Zbl 07803675 Evol. Equ. Control Theory 13, No. 1, 280-304 (2024). MSC: 35D30 35K51 35K65 35K92 PDFBibTeX XMLCite \textit{M. Nachaoui} et al., Evol. Equ. Control Theory 13, No. 1, 280--304 (2024; Zbl 07803675) Full Text: DOI
Mathiyalagan, K.; Renugadevi, T.; Zhang, Huiyan Boundary stabilisation of fractional reaction-diffusion systems with time-varying delays. (English) Zbl 07802449 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 55, No. 2, 209-221 (2024). MSC: 93C20 35K57 35R11 93C43 PDFBibTeX XMLCite \textit{K. Mathiyalagan} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 55, No. 2, 209--221 (2024; Zbl 07802449) Full Text: DOI
Ivanov, Milen; Sandstede, Björn Truncation of contact defects in reaction-diffusion systems. (English) Zbl 07796513 SIAM J. Appl. Dyn. Syst. 23, No. 1, 26-49 (2024). Reviewer: Jia-Yuan Dai (Taichung) MSC: 35K57 35B10 35B36 35K45 PDFBibTeX XMLCite \textit{M. Ivanov} and \textit{B. Sandstede}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 26--49 (2024; Zbl 07796513) Full Text: DOI arXiv
Dountio, Martin; Yakam, André Nana; Bowong, Samuel Theoretical assessment of the impact of temperature variations on the population dynamics of Paracoccus marginatus. (English) Zbl 07787370 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 5, 46 p. (2024). MSC: 35Q92 92D30 35K57 35B35 35R07 34A34 93D05 65M06 PDFBibTeX XMLCite \textit{M. Dountio} et al., Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 5, 46 p. (2024; Zbl 07787370) Full Text: DOI
Sun, Wenlong; Han, Xiaoying; Kloeden, Peter E. Approximation of the heaviside function by sigmoidal functions in reaction-diffusion equations. (English) Zbl 07784302 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107656, 18 p. (2024). MSC: 34A34 34A36 34A60 35A05 34D45 PDFBibTeX XMLCite \textit{W. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107656, 18 p. (2024; Zbl 07784302) Full Text: DOI
Yang, Andrew; Zhou, Wenshu Unique solvability and zero diffusion limits of global large solution for a nonlinear hyperbolic system with damping and diffusion. (English) Zbl 1527.35030 Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 1-21 (2024). MSC: 35B25 35B40 35K51 35K57 PDFBibTeX XMLCite \textit{A. Yang} and \textit{W. Zhou}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 1--21 (2024; Zbl 1527.35030) Full Text: DOI
Yin, Hong-Ming; Zou, Jun Asymptotic analysis for a nonlinear reaction-diffusion system modeling an infectious disease. (English) Zbl 1526.35080 Nonlinear Anal., Real World Appl. 75, Article ID 103984, 23 p. (2024). MSC: 35B40 35K51 35K57 92D30 PDFBibTeX XMLCite \textit{H.-M. Yin} and \textit{J. Zou}, Nonlinear Anal., Real World Appl. 75, Article ID 103984, 23 p. (2024; Zbl 1526.35080) Full Text: DOI arXiv
Rasulov, M. S. The diffusive two species predator-prey system with a free boundary. (English) Zbl 07806360 Uzb. Math. J. 67, No. 4, 87-92 (2023). MSC: 35K45 35K55 35K57 35R35 PDFBibTeX XMLCite \textit{M. S. Rasulov}, Uzb. Math. J. 67, No. 4, 87--92 (2023; Zbl 07806360) Full Text: DOI
Gholami, Yousef Globally asymptotic stability analysis for memristor-based competitive systems of reaction-diffusion delayed neural networks. (English) Zbl 07789820 Math. Methods Appl. Sci. 46, No. 16, 17036-17064 (2023). MSC: 35R02 35B35 35B38 35K51 35K51 34Kxx PDFBibTeX XMLCite \textit{Y. Gholami}, Math. Methods Appl. Sci. 46, No. 16, 17036--17064 (2023; Zbl 07789820) Full Text: DOI
Maksimov, V. I. On a positional control problem for a nonlinear equation with distributed parameters. (English. Russian original) Zbl 07786430 Differ. Equ. 59, No. 11, 1527-1537 (2023); translation from Differ. Uravn. 59, No. 11, 1522-1532 (2023). MSC: 93B52 93C20 35K57 93C10 PDFBibTeX XMLCite \textit{V. I. Maksimov}, Differ. Equ. 59, No. 11, 1527--1537 (2023; Zbl 07786430); translation from Differ. Uravn. 59, No. 11, 1522--1532 (2023) Full Text: DOI
Ragb, Ola; Wazwaz, Abdul-Majid; Mohamed, Mokhtar; Matbuly, M. S.; Salah, Mohamed Fractional differential quadrature techniques for fractional order Cauchy reaction-diffusion equations. (English) Zbl 07783853 Math. Methods Appl. Sci. 46, No. 9, 10216-10233 (2023). MSC: 65L10 35G50 35G55 PDFBibTeX XMLCite \textit{O. Ragb} et al., Math. Methods Appl. Sci. 46, No. 9, 10216--10233 (2023; Zbl 07783853) Full Text: DOI
Karaagac, Berat; Owolabi, Kolade M. Numerical analysis of polio model: a mathematical approach to epidemiological model using derivative with Mittag-Leffler kernel. (English) Zbl 07782475 Math. Methods Appl. Sci. 46, No. 7, 8175-8192 (2023). MSC: 34A34 35A05 35K57 65L05 65M06 93C10 PDFBibTeX XMLCite \textit{B. Karaagac} and \textit{K. M. Owolabi}, Math. Methods Appl. Sci. 46, No. 7, 8175--8192 (2023; Zbl 07782475) Full Text: DOI
Lin, Shanrong; Liu, Xiwei; Huang, Yanli Event-triggered synchronization and \(\mathcal{H}_{\infty}\) synchronization of coupled delayed reaction-diffusion memristive neural networks. (English) Zbl 07780256 Math. Methods Appl. Sci. 46, No. 8, 9079-9102 (2023). MSC: 35R02 35B40 35K57 93C10 PDFBibTeX XMLCite \textit{S. Lin} et al., Math. Methods Appl. Sci. 46, No. 8, 9079--9102 (2023; Zbl 07780256) Full Text: DOI
Le, Minh Global existence of solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary conditions. (English) Zbl 1528.35071 J. Differ. Equations 377, 1-37 (2023). Reviewer: Philippe Laurençot (Chambéry) MSC: 35K51 35K61 35K57 PDFBibTeX XMLCite \textit{M. Le}, J. Differ. Equations 377, 1--37 (2023; Zbl 1528.35071) Full Text: DOI arXiv
Fellner, Klemens; Münch, Christian On hysteresis-reaction-diffusion systems: singular fast-reaction limit derivation and nonlinear hysteresis feedback. (English) Zbl 1526.35208 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1167-1203 (2023). MSC: 35K57 35B25 35K51 37B55 47J40 PDFBibTeX XMLCite \textit{K. Fellner} and \textit{C. Münch}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1167--1203 (2023; Zbl 1526.35208) Full Text: DOI arXiv
Jacobs, Matt; Kim, Inwon; Tong, Jiajun Tumor growth with nutrients: regularity and stability. (English) Zbl 1527.35441 Commun. Am. Math. Soc. 3, 166-208 (2023). MSC: 35Q92 92C37 92C17 35B65 35B35 35K45 35K57 35K55 35B51 PDFBibTeX XMLCite \textit{M. Jacobs} et al., Commun. Am. Math. Soc. 3, 166--208 (2023; Zbl 1527.35441) Full Text: DOI arXiv
Ma, Li; Tang, De A diffusion-advection predator-prey model with a protection zone. (English) Zbl 1523.35207 J. Differ. Equations 375, 304-347 (2023). MSC: 35K57 35K51 35K61 37C65 92D25 PDFBibTeX XMLCite \textit{L. Ma} and \textit{D. Tang}, J. Differ. Equations 375, 304--347 (2023; Zbl 1523.35207) Full Text: DOI
Gokulakrishnan, V.; Srinivasan, R. Exponential input-to-state stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays and exogenous disturbances via boundary control. (English) Zbl 07745071 Comput. Appl. Math. 42, No. 7, Paper No. 308, 24 p. (2023). MSC: 93D23 93D25 93E15 93C20 35K57 93C10 93C43 PDFBibTeX XMLCite \textit{V. Gokulakrishnan} and \textit{R. Srinivasan}, Comput. Appl. Math. 42, No. 7, Paper No. 308, 24 p. (2023; Zbl 07745071) Full Text: DOI
Epifanov, A. V.; Tsybulin, V. G. Mathematical model of the ideal distribution of related species in a nonhogeneous environment. (Russian. English summary) Zbl 07743972 Vladikavkaz. Mat. Zh. 25, No. 2, 78-88 (2023). MSC: 35B36 65M20 92C15 92D25 35K51 35K57 PDFBibTeX XMLCite \textit{A. V. Epifanov} and \textit{V. G. Tsybulin}, Vladikavkaz. Mat. Zh. 25, No. 2, 78--88 (2023; Zbl 07743972) Full Text: DOI MNR
Broadbridge, P.; Cherniha, R. M.; Goard, J. M. Exact nonclassical symmetry solutions of Lotka-Volterra-type population systems. (English) Zbl 1522.35022 Eur. J. Appl. Math. 34, No. 5, 998-1016 (2023). MSC: 35B06 35C05 35K40 35K57 92D25 PDFBibTeX XMLCite \textit{P. Broadbridge} et al., Eur. J. Appl. Math. 34, No. 5, 998--1016 (2023; Zbl 1522.35022) Full Text: DOI
Anco, Stephen C. Symmetry actions and brackets for adjoint-symmetries. II: Physical examples. (English) Zbl 1522.35021 Eur. J. Appl. Math. 34, No. 5, 974-997 (2023). MSC: 35B06 35G50 35K57 35Q30 PDFBibTeX XMLCite \textit{S. C. Anco}, Eur. J. Appl. Math. 34, No. 5, 974--997 (2023; Zbl 1522.35021) Full Text: DOI arXiv OA License
Liu, X.; Yang, Z. W.; Zeng, Y. M. Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source. (English) Zbl 07727804 Int. J. Comput. Math. 100, No. 8, 1737-1756 (2023). MSC: 65P40 65N12 65N22 PDFBibTeX XMLCite \textit{X. Liu} et al., Int. J. Comput. Math. 100, No. 8, 1737--1756 (2023; Zbl 07727804) Full Text: DOI
Ei, Shin-Ichiro; Mitsuzono, Ken; Shimatani, Haruki The dynamics of pulse solutions for reaction diffusion systems on a star shaped metric graph with the Kirchhoff’s boundary condition. (English) Zbl 1521.35174 Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6064-6091 (2023). MSC: 35R02 35B32 35B35 35K40 35K55 35K57 35Q92 PDFBibTeX XMLCite \textit{S.-I. Ei} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6064--6091 (2023; Zbl 1521.35174) Full Text: DOI
Sowndarrajan, P. T. Existence and optimal control analysis of acid-mediated tumor invasion model. (English) Zbl 07727247 Adv. Differ. Equ. Control Process. 30, No. 1, 53-72 (2023). MSC: 35Q92 35K57 49J20 92D99 35K51 35K55 PDFBibTeX XMLCite \textit{P. T. Sowndarrajan}, Adv. Differ. Equ. Control Process. 30, No. 1, 53--72 (2023; Zbl 07727247) Full Text: DOI
Zhou, Pan; Wang, Jianpeng; Teng, Zhidong; Wang, Kai Dynamical analysis for a diffusive SVEIR epidemic model with nonlinear incidences. (English) Zbl 1519.35033 Z. Angew. Math. Phys. 74, No. 5, Paper No. 173, 27 p. (2023). MSC: 35B40 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{P. Zhou} et al., Z. Angew. Math. Phys. 74, No. 5, Paper No. 173, 27 p. (2023; Zbl 1519.35033) Full Text: DOI
Kiselev, Alexander; Nazarov, Fedor; Ryzhik, Lenya; Yao, Yao Chemotaxis and reactions in biology. (English) Zbl 1519.92032 J. Eur. Math. Soc. (JEMS) 25, No. 7, 2641-2696 (2023). MSC: 92C17 35K57 35K40 35K55 PDFBibTeX XMLCite \textit{A. Kiselev} et al., J. Eur. Math. Soc. (JEMS) 25, No. 7, 2641--2696 (2023; Zbl 1519.92032) Full Text: DOI arXiv
Gasteratos, Ioannis; Salins, Michael; Spiliopoulos, Konstantinos Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations. (English) Zbl 1518.60037 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 2, 503-598 (2023). MSC: 60F10 60H15 35K57 70K70 PDFBibTeX XMLCite \textit{I. Gasteratos} et al., Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 2, 503--598 (2023; Zbl 1518.60037) Full Text: DOI arXiv
Fellner, Klemens; Fischer, Julian; Kniely, Michael; Tang, Bao Quoc Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion. (English) Zbl 1518.35092 J. Nonlinear Sci. 33, No. 4, Paper No. 66, 49 p. (2023). MSC: 35B40 35D30 35K51 35K57 35K59 PDFBibTeX XMLCite \textit{K. Fellner} et al., J. Nonlinear Sci. 33, No. 4, Paper No. 66, 49 p. (2023; Zbl 1518.35092) Full Text: DOI arXiv
Xu, Jie; Lian, Qiqi; Liu, Jicheng Strong convergence rate of the averaging principle for a class of slow-fast stochastic evolution equations. (English) Zbl 1518.60062 Stochastics 95, No. 4, 581-614 (2023). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 70K65 70K70 35R60 PDFBibTeX XMLCite \textit{J. Xu} et al., Stochastics 95, No. 4, 581--614 (2023; Zbl 1518.60062) Full Text: DOI
Portaluri, Alessandro; Wu, Li; Yang, Ran A generalized index theory for non-Hamiltonian system. (English) Zbl 1523.58024 J. Differ. Equations 369, 180-214 (2023). Reviewer: Mohsen Timoumi (Monastir) MSC: 58J30 47H11 55M25 58J20 35K57 PDFBibTeX XMLCite \textit{A. Portaluri} et al., J. Differ. Equations 369, 180--214 (2023; Zbl 1523.58024) Full Text: DOI arXiv
Wei, Jinyu; Liu, Bin Dynamical behavior of a Lotka-Volterra competitive system from river ecology. (English) Zbl 1518.35122 East Asian J. Appl. Math. 13, No. 1, 1-21 (2023). MSC: 35B40 35K51 35K57 35K61 92D25 PDFBibTeX XMLCite \textit{J. Wei} and \textit{B. Liu}, East Asian J. Appl. Math. 13, No. 1, 1--21 (2023; Zbl 1518.35122) Full Text: DOI
Gokulakrishnan, V.; Srinivasan, R.; Syed Ali, M.; Rajchakit, Grienggrai Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion. (English) Zbl 1524.93054 Int. J. Comput. Math. 100, No. 5, 1031-1051 (2023). MSC: 93D40 93E15 93C20 35K57 93C30 93C10 93C43 PDFBibTeX XMLCite \textit{V. Gokulakrishnan} et al., Int. J. Comput. Math. 100, No. 5, 1031--1051 (2023; Zbl 1524.93054) Full Text: DOI
Ren, Yong; Hu, Lanying; Li, Jiaying Practical stability in relation to a part of variables for stochastic reaction-diffusion systems driven by \(G\)-Brownian motion. (English) Zbl 1519.93226 Int. J. Control 96, No. 6, 1594-1602 (2023). MSC: 93E15 93D23 93C20 35K57 35R60 60G65 PDFBibTeX XMLCite \textit{Y. Ren} et al., Int. J. Control 96, No. 6, 1594--1602 (2023; Zbl 1519.93226) Full Text: DOI
Wu, Duan; Shen, Shuang Global boundedness and stabilization in a forager-exploiter model with logistic growth and nonlinear resource consumption. (English) Zbl 1517.35053 Nonlinear Anal., Real World Appl. 72, Article ID 103854, 19 p. (2023). MSC: 35B40 35K51 35K57 PDFBibTeX XMLCite \textit{D. Wu} and \textit{S. Shen}, Nonlinear Anal., Real World Appl. 72, Article ID 103854, 19 p. (2023; Zbl 1517.35053) Full Text: DOI
Ma, Li; Wang, Huatao; Gao, Jianping Dynamics of two-species Holling type-II predator-prey system with cross-diffusion. (English) Zbl 1519.35026 J. Differ. Equations 365, 591-635 (2023). Reviewer: Qinlong Wang (Guilin) MSC: 35B36 35B32 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{L. Ma} et al., J. Differ. Equations 365, 591--635 (2023; Zbl 1519.35026) Full Text: DOI
Jia, Zhe Global boundedness of weak solutions for an attraction-repulsion chemotaxis system with p-Laplacian diffusion and nonlinear production. (English) Zbl 1519.92031 Discrete Contin. Dyn. Syst., Ser. B 28, No. 9, 4847-4863 (2023). Reviewer: Philippe Laurençot (Toulouse) MSC: 92C17 35K51 35K65 35K57 PDFBibTeX XMLCite \textit{Z. Jia}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 9, 4847--4863 (2023; Zbl 1519.92031) Full Text: DOI
Hill, Dan J.; Bramburger, Jason J.; Lloyd, David J. B. Approximate localised dihedral patterns near a Turing instability. (English) Zbl 1511.35022 Nonlinearity 36, No. 5, 2567-2630 (2023). MSC: 35B32 35B36 35J61 35K57 37L65 34C37 PDFBibTeX XMLCite \textit{D. J. Hill} et al., Nonlinearity 36, No. 5, 2567--2630 (2023; Zbl 1511.35022) Full Text: DOI arXiv
Marinoschi, Gabriela A semigroup approach to a reaction-diffusion system with cross-diffusion. (English) Zbl 1510.35136 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113222, 29 p. (2023). MSC: 35K51 35K57 35K61 47H04 47H06 47H20 92C17 PDFBibTeX XMLCite \textit{G. Marinoschi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113222, 29 p. (2023; Zbl 1510.35136) Full Text: DOI
Huang, Zhe; Ou, Chunhua Determining spreading speeds for abstract time-periodic monotone semiflows. (English) Zbl 1511.35074 J. Differ. Equations 353, 339-384 (2023). Reviewer: Guobao Zhang (Lanzhou) MSC: 35C07 35B40 35K57 37C65 37L05 35B10 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{C. Ou}, J. Differ. Equations 353, 339--384 (2023; Zbl 1511.35074) Full Text: DOI
Guo, Shangjiang Global dynamics of a Lotka-Volterra competition-diffusion system with nonlinear boundary conditions. (English) Zbl 1509.35045 J. Differ. Equations 352, 308-353 (2023). MSC: 35B40 35B32 35K51 35K57 35K61 92D40 PDFBibTeX XMLCite \textit{S. Guo}, J. Differ. Equations 352, 308--353 (2023; Zbl 1509.35045) Full Text: DOI
Ge, Qing; Tang, De Global dynamics of a two-species Lotka-Volterra competition-diffusion-advection system with general carrying capacities and intrinsic growth rates. II: Different diffusion and advection rates. (English) Zbl 1503.35036 J. Differ. Equations 344, 735-766 (2023). MSC: 35B40 35K51 35K57 35K61 37C65 92D25 PDFBibTeX XMLCite \textit{Q. Ge} and \textit{D. Tang}, J. Differ. Equations 344, 735--766 (2023; Zbl 1503.35036) Full Text: DOI
Zheng, Jiashan; Zhang, Pengmei Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction. (English) Zbl 1501.35095 J. Math. Anal. Appl. 519, No. 1, Article ID 126741, 12 p. (2023). MSC: 35B44 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{J. Zheng} and \textit{P. Zhang}, J. Math. Anal. Appl. 519, No. 1, Article ID 126741, 12 p. (2023; Zbl 1501.35095) Full Text: DOI
You, Yuncheng; Tu, Junyi Dynamics and Synchronization of Weakly Coupled Memristive Reaction-Diffusion Neural Networks. arXiv:2307.12207 Preprint, arXiv:2307.12207 [math.AP] (2023). MSC: 35B40 35G50 35K57 37N25 92C20 BibTeX Cite \textit{Y. You} and \textit{J. Tu}, ``Dynamics and Synchronization of Weakly Coupled Memristive Reaction-Diffusion Neural Networks'', Preprint, arXiv:2307.12207 [math.AP] (2023) Full Text: arXiv OA License
Hana, Matallah; Messaoud, Maouni; Hakim, Lakhal Global weak solution to a generic reaction-diffusion nonlinear parabolic system. (English) Zbl 1527.35139 Math. Methods Appl. Sci. 45, No. 11, 6935-6950 (2022). MSC: 35D30 35K51 35K59 PDFBibTeX XMLCite \textit{M. Hana} et al., Math. Methods Appl. Sci. 45, No. 11, 6935--6950 (2022; Zbl 1527.35139) Full Text: DOI
Bekmaganbetov, Kuanysh A.; Chepyzhov, Vladimir V.; Chechkin, Gregory A. Strong convergence of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium. (English. Russian original) Zbl 1522.35092 Izv. Math. 86, No. 6, 1072-1101 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 6, 47-78 (2022). MSC: 35B41 35B27 35K20 35K57 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Izv. Math. 86, No. 6, 1072--1101 (2022; Zbl 1522.35092); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 6, 47--78 (2022) Full Text: DOI MNR
Diele, Fasma; Martiradonna, Angela; Trenchea, Catalin Stability and errors estimates of a second-order IMSP scheme. (English) Zbl 1514.65127 Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3645-3665 (2022). MSC: 65M60 65M15 65M12 35K57 35K55 PDFBibTeX XMLCite \textit{F. Diele} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3645--3665 (2022; Zbl 1514.65127) Full Text: DOI
Mesbahi, Amer; Mesbahi, Salim On the existence of periodic solutions of a degenerate parabolic reaction-diffusion model. (English) Zbl 1524.35318 Nonlinear Dyn. Syst. Theory 22, No. 2, 197-205 (2022). MSC: 35K57 35K65 70K42 PDFBibTeX XMLCite \textit{A. Mesbahi} and \textit{S. Mesbahi}, Nonlinear Dyn. Syst. Theory 22, No. 2, 197--205 (2022; Zbl 1524.35318) Full Text: Link
Owolabi, Kolade M. Modelling and numerical synchronization of chaotic system with fractional-order operator. (English) Zbl 07678012 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7-8, 1269-1287 (2022). MSC: 26A33 35K57 65L05 65M06 93C10 PDFBibTeX XMLCite \textit{K. M. Owolabi}, Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7--8, 1269--1287 (2022; Zbl 07678012) Full Text: DOI
Rasulov, M. S.; Norov, A. K. Dynamics for a two-species competitive quasi-linear reaction-diffusion system with a free boundary. (English) Zbl 1524.35103 Uzb. Math. J. 66, No. 4, 133-145 (2022). MSC: 35B45 35K45 35K55 35K57 35R35 PDFBibTeX XMLCite \textit{M. S. Rasulov} and \textit{A. K. Norov}, Uzb. Math. J. 66, No. 4, 133--145 (2022; Zbl 1524.35103)
Efendiev, Messoud; Vougalter, Vitali On the necessary conditions for preserving the nonnegative cone: double scale anomalous diffusion. (English) Zbl 1507.35101 Adv. Math. Sci. Appl. 31, No. 1, 197-206 (2022). MSC: 35K55 35K57 76R50 PDFBibTeX XMLCite \textit{M. Efendiev} and \textit{V. Vougalter}, Adv. Math. Sci. Appl. 31, No. 1, 197--206 (2022; Zbl 1507.35101) Full Text: Link
Gokieli, Maria; Kenmochi, Nobuyuki; Niezgódka, Marek Parabolic quasi-variational inequalities. III: Problems with degenerate gradient constraint. (English) Zbl 1509.35147 Adv. Math. Sci. Appl. 31, No. 1, 131-145 (2022). MSC: 35K86 35K51 35K57 35K59 PDFBibTeX XMLCite \textit{M. Gokieli} et al., Adv. Math. Sci. Appl. 31, No. 1, 131--145 (2022; Zbl 1509.35147) Full Text: Link
Pyatkov, Sergeĭ Grigor’evich On inverse problems with pointwise overdetermination for mathematical models of heat and mass transfer. (English) Zbl 1506.35280 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 3, 34-50 (2022). MSC: 35R30 35R25 35K57 35K51 35K61 PDFBibTeX XMLCite \textit{S. G. Pyatkov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 3, 34--50 (2022; Zbl 1506.35280) Full Text: DOI MNR
Osman, Sheelan; Langlands, Trevor Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations. (English) Zbl 1503.65181 Fract. Calc. Appl. Anal. 25, No. 6, 2166-2192 (2022). MSC: 65M06 65M12 65M15 35R11 35K57 PDFBibTeX XMLCite \textit{S. Osman} and \textit{T. Langlands}, Fract. Calc. Appl. Anal. 25, No. 6, 2166--2192 (2022; Zbl 1503.65181) Full Text: DOI
Elmurodov, A. N.; Rasulov, M. S. On a uniqueness of solution for a reaction-diffusion type system with a free boundary. (English) Zbl 1503.35290 Lobachevskii J. Math. 43, No. 8, 2099-2106 (2022). MSC: 35R35 35A02 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{A. N. Elmurodov} and \textit{M. S. Rasulov}, Lobachevskii J. Math. 43, No. 8, 2099--2106 (2022; Zbl 1503.35290) Full Text: DOI
Consolo, Giancarlo; Grifó, Gabriele Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains. (English) Zbl 1498.35033 SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 57, 32 p. (2022). MSC: 35B32 35B36 35L51 35L60 35Q56 35Q92 PDFBibTeX XMLCite \textit{G. Consolo} and \textit{G. Grifó}, SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 57, 32 p. (2022; Zbl 1498.35033) Full Text: DOI
Soresina, Cinzia Hopf bifurcations in the full SKT model and where to find them. (English) Zbl 1498.35037 Discrete Contin. Dyn. Syst., Ser. S 15, No. 9, 2673-2693 (2022). MSC: 35B32 35K51 35K57 65P30 92D25 PDFBibTeX XMLCite \textit{C. Soresina}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 9, 2673--2693 (2022; Zbl 1498.35037) Full Text: DOI arXiv
Schmid, Jochen; Kapustyan, Oleksiy; Dashkovskiy, Sergey Asymptotic gain results for attractors of semilinear systems. (English) Zbl 1505.37089 Math. Control Relat. Fields 12, No. 3, 763-788 (2022). MSC: 37L15 37L30 93C20 93D09 35B35 35B40 35B41 PDFBibTeX XMLCite \textit{J. Schmid} et al., Math. Control Relat. Fields 12, No. 3, 763--788 (2022; Zbl 1505.37089) Full Text: DOI arXiv
Zhang, Bingyin; Fu, Hongfei; Liang, Xueting; Liu, Jun; Zhang, Jiansong An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1513.65329 Adv. Appl. Math. Mech. 14, No. 6, 1400-1432 (2022). MSC: 65M08 65M06 65N08 65M12 65M15 26A33 35R11 65F10 PDFBibTeX XMLCite \textit{B. Zhang} et al., Adv. Appl. Math. Mech. 14, No. 6, 1400--1432 (2022; Zbl 1513.65329) Full Text: DOI
Capone, Florinda; Carfora, Maria Francesca; De Luca, Roberta; Torcicollo, Isabella Nonlinear stability and numerical simulations for a reaction-diffusion system modelling Allee effect on predators. (English) Zbl 1525.35166 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 5, 751-760 (2022). MSC: 35K57 92D25 37N25 PDFBibTeX XMLCite \textit{F. Capone} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 5, 751--760 (2022; Zbl 1525.35166) Full Text: DOI
Raveendran, Vishnu; Cirillo, Emilio N. M.; Muntean, Adrian Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift. (English) Zbl 1496.35047 Q. Appl. Math. 80, No. 4, 641-667 (2022). MSC: 35B27 35K57 35K58 35K61 PDFBibTeX XMLCite \textit{V. Raveendran} et al., Q. Appl. Math. 80, No. 4, 641--667 (2022; Zbl 1496.35047) Full Text: DOI arXiv
Lhachemi, Hugo; Prieur, Christophe Nonlinear boundary output feedback stabilization of reaction-diffusion equations. (English) Zbl 1498.93565 Syst. Control Lett. 166, Article ID 105301, 9 p. (2022). MSC: 93D15 93C20 35K57 93C10 PDFBibTeX XMLCite \textit{H. Lhachemi} and \textit{C. Prieur}, Syst. Control Lett. 166, Article ID 105301, 9 p. (2022; Zbl 1498.93565) Full Text: DOI arXiv
Li, Yixuan; Ren, Yong Stability for stochastic reaction-diffusion systems driven by \(G\)-Brownian motion. (English) Zbl 1497.93231 Int. J. Control 95, No. 7, 1913-1921 (2022). MSC: 93E15 93D23 93C20 35K57 60G65 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Ren}, Int. J. Control 95, No. 7, 1913--1921 (2022; Zbl 1497.93231) Full Text: DOI
Meng, Wentao; Yue, Yuanxi; Ma, Manjun The minimal wave speed of the Lotka-Volterra competition model with seasonal succession. (English) Zbl 1495.35071 Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5085-5100 (2022). MSC: 35C07 35K40 35K57 92D25 PDFBibTeX XMLCite \textit{W. Meng} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5085--5100 (2022; Zbl 1495.35071) Full Text: DOI
Hevage, Isanka Garli; Ibragimov, Akif Finite speed of propagation in degenerate Einstein Brownian motion model. (English) Zbl 1504.35557 J. Korean Soc. Ind. Appl. Math. 26, No. 2, 108-120 (2022). MSC: 35Q82 82C41 82C22 82C31 82D15 60J65 35K57 35K61 PDFBibTeX XMLCite \textit{I. G. Hevage} and \textit{A. Ibragimov}, J. Korean Soc. Ind. Appl. Math. 26, No. 2, 108--120 (2022; Zbl 1504.35557) Full Text: DOI arXiv
Wang, Yang; Li, Hongliang; Li, Xiong Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case. (English) Zbl 1495.35075 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 912-938 (2022). MSC: 35C07 35K45 35K57 92D25 92D40 PDFBibTeX XMLCite \textit{Y. Wang} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 912--938 (2022; Zbl 1495.35075) Full Text: DOI
Khari, Kartikay; Kumar, Vivek An efficient numerical technique for solving nonlinear singularly perturbed reaction diffusion problem. (English) Zbl 1502.65226 J. Math. Chem. 60, No. 7, 1356-1382 (2022). MSC: 65N35 35K51 35B25 PDFBibTeX XMLCite \textit{K. Khari} and \textit{V. Kumar}, J. Math. Chem. 60, No. 7, 1356--1382 (2022; Zbl 1502.65226) Full Text: DOI
Pan, Chaohong; Wang, Hongyong; Ou, Chunhua Invasive speed for a competition-diffusion system with three species. (English) Zbl 1490.35090 Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3515-3532 (2022). MSC: 35C07 35K45 35K57 37C65 92D25 PDFBibTeX XMLCite \textit{C. Pan} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3515--3532 (2022; Zbl 1490.35090) Full Text: DOI
Gokieli, Maria; Kenmochi, Nobuyuki; Niezgódka, Marek Parabolic quasi-variational inequalities. I: Semimonotone operator approach. (English) Zbl 1492.35101 J. Convex Anal. 29, No. 2, 531-558 (2022). MSC: 35G45 35K51 35K57 35K59 35K86 35R70 47J20 47J22 49J40 PDFBibTeX XMLCite \textit{M. Gokieli} et al., J. Convex Anal. 29, No. 2, 531--558 (2022; Zbl 1492.35101) Full Text: arXiv Link
Asheghi, Rasoul Hopf bifurcation in a diffusive predator-prey model with a square-root singularity. (English) Zbl 1487.35044 Topol. Methods Nonlinear Anal. 59, No. 1, 193-220 (2022). MSC: 35B32 35K51 35K57 92D25 70K50 PDFBibTeX XMLCite \textit{R. Asheghi}, Topol. Methods Nonlinear Anal. 59, No. 1, 193--220 (2022; Zbl 1487.35044) Full Text: DOI
Jukić, Mia; Hupkes, Hermen Jan Curvature-driven front propagation through planar lattices in oblique directions. (English) Zbl 1497.34023 Commun. Pure Appl. Anal. 21, No. 6, 2189-2251 (2022). MSC: 34A33 34D05 34D20 53E10 PDFBibTeX XMLCite \textit{M. Jukić} and \textit{H. J. Hupkes}, Commun. Pure Appl. Anal. 21, No. 6, 2189--2251 (2022; Zbl 1497.34023) Full Text: DOI arXiv
Manna, Kalyan; Banerjee, Malay Spatiotemporal pattern formation in a prey-predator model with generalist predator. (English) Zbl 1487.35062 Math. Model. Nat. Phenom. 17, Paper No. 6, 25 p. (2022). MSC: 35B36 35C07 35K51 35K57 37G15 92C15 PDFBibTeX XMLCite \textit{K. Manna} and \textit{M. Banerjee}, Math. Model. Nat. Phenom. 17, Paper No. 6, 25 p. (2022; Zbl 1487.35062) Full Text: DOI
Haskovec, Jan; Markowich, Peter; Pilli, Giulia Tensor PDE model of biological network formation. (English) Zbl 1492.35365 Commun. Math. Sci. 20, No. 4, 1173-1191 (2022). MSC: 35Q92 92C42 35D30 35G61 35K57 PDFBibTeX XMLCite \textit{J. Haskovec} et al., Commun. Math. Sci. 20, No. 4, 1173--1191 (2022; Zbl 1492.35365) Full Text: DOI arXiv
Benabdallah, Abdallah; Dlala, Mohsen Rapid exponential stabilization by boundary state feedback for a class of coupled nonlinear ODE and \(1-d\) heat diffusion equation. (English) Zbl 1487.35067 Discrete Contin. Dyn. Syst., Ser. S 15, No. 5, 1085-1102 (2022). MSC: 35B40 35K20 35K57 93C10 93D15 93B30 PDFBibTeX XMLCite \textit{A. Benabdallah} and \textit{M. Dlala}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 5, 1085--1102 (2022; Zbl 1487.35067) Full Text: DOI
Peletier, Mark A.; Schlottke, Mikola C. Gamma-convergence of a gradient-flow structure to a non-gradient-flow structure. (English) Zbl 1486.35026 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 103, 44 p. (2022). MSC: 35B25 35B27 35K15 35K57 35K67 35R06 37L05 60H10 60F10 70G75 PDFBibTeX XMLCite \textit{M. A. Peletier} and \textit{M. C. Schlottke}, Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 103, 44 p. (2022; Zbl 1486.35026) Full Text: DOI arXiv
Jüngel, Ansgar; Zamponi, Nicola Analysis of a fractional cross-diffusion system for multi-species populations. (English) Zbl 1486.35431 J. Differ. Equations 322, 237-267 (2022). MSC: 35R11 35D30 35K45 35K55 35K57 35Q92 PDFBibTeX XMLCite \textit{A. Jüngel} and \textit{N. Zamponi}, J. Differ. Equations 322, 237--267 (2022; Zbl 1486.35431) Full Text: DOI arXiv
Shi, Yangyang; Gao, Hongjun Homogenization for stochastic reaction-diffusion equations with singular perturbation term. (English) Zbl 1493.60102 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2401-2426 (2022). Reviewer: Jing Cui (Wuhu) MSC: 60H15 70K70 37A25 35R60 35K57 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{H. Gao}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2401--2426 (2022; Zbl 1493.60102) Full Text: DOI
Kita, Kosuke; Ôtani, Mitsuharu On a comparison theorem for parabolic equations with nonlinear boundary conditions. (English) Zbl 1485.35088 Adv. Nonlinear Anal. 11, 1165-1181 (2022). MSC: 35B51 35B44 35K51 35K57 35K61 PDFBibTeX XMLCite \textit{K. Kita} and \textit{M. Ôtani}, Adv. Nonlinear Anal. 11, 1165--1181 (2022; Zbl 1485.35088) Full Text: DOI arXiv
Rodríguez-Bernal, Aníbal; Sastre-Gómez, Silvia Nonlinear nonlocal reaction-diffusion problem with local reaction. (English) Zbl 1498.37115 Discrete Contin. Dyn. Syst. 42, No. 4, 1731-1765 (2022). Reviewer: Mohamed Zitane (Meknès) MSC: 37L15 37L05 37L30 35K57 45M05 45M10 45M20 45K05 92D25 PDFBibTeX XMLCite \textit{A. Rodríguez-Bernal} and \textit{S. Sastre-Gómez}, Discrete Contin. Dyn. Syst. 42, No. 4, 1731--1765 (2022; Zbl 1498.37115) Full Text: DOI
Tuan, Nguyen Huy; Caraballo, Tomás; Van, Phan Thi Khanh; Au, Vo Van On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. (English) Zbl 1483.35336 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106248, 29 p. (2022). MSC: 35R25 35R30 35K51 35K57 35R09 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106248, 29 p. (2022; Zbl 1483.35336) Full Text: DOI
Carvalho, Alexandre N.; Cunha, Arthur C.; Langa, José A.; Robinson, James C. Finite-dimensional negatively invariant subsets of Banach spaces. (English) Zbl 1494.37047 J. Math. Anal. Appl. 509, No. 2, Article ID 125945, 21 p. (2022). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L30 37C70 37C45 28A12 28A80 35K58 35K57 35Q30 47J35 PDFBibTeX XMLCite \textit{A. N. Carvalho} et al., J. Math. Anal. Appl. 509, No. 2, Article ID 125945, 21 p. (2022; Zbl 1494.37047) Full Text: DOI
Liu, Qingqing; Peng, Hongyun; Wang, Zhi-An Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis. (English) Zbl 1483.35035 J. Differ. Equations 314, 251-286 (2022). MSC: 35B40 35B45 35G55 35K57 92C17 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Differ. Equations 314, 251--286 (2022; Zbl 1483.35035) Full Text: DOI arXiv
Lei, Yanfang; Li, Junmin; Zhao, Ailiang Spatiotemporal fault detection, estimation and control for nonlinear reaction-diffusion equations. (English) Zbl 1510.93093 Appl. Math. Comput. 418, Article ID 126859, 19 p. (2022). MSC: 93B53 35K57 93B52 93C20 PDFBibTeX XMLCite \textit{Y. Lei} et al., Appl. Math. Comput. 418, Article ID 126859, 19 p. (2022; Zbl 1510.93093) Full Text: DOI
Erhardt, André H.; Solem, Susanne Bifurcation analysis of a modified cardiac cell model. (English) Zbl 1489.37106 SIAM J. Appl. Dyn. Syst. 21, No. 1, 231-247 (2022). MSC: 37N25 92B05 92C30 PDFBibTeX XMLCite \textit{A. H. Erhardt} and \textit{S. Solem}, SIAM J. Appl. Dyn. Syst. 21, No. 1, 231--247 (2022; Zbl 1489.37106) Full Text: DOI
Sharma, Vandana; Prajapat, Jyotshana V. Global existence of solutions to reaction diffusion systems with mass transport type boundary conditions on an evolving domain. (English) Zbl 1480.35283 Discrete Contin. Dyn. Syst. 42, No. 1, 109-135 (2022). MSC: 35K51 35K57 35K61 35B45 35R37 PDFBibTeX XMLCite \textit{V. Sharma} and \textit{J. V. Prajapat}, Discrete Contin. Dyn. Syst. 42, No. 1, 109--135 (2022; Zbl 1480.35283) Full Text: DOI arXiv
Polyanin, Andrei D.; Sorokin, Vsevolod G. Reductions and exact solutions of Lotka-Volterra and more complex reaction-diffusion systems with delays. (English) Zbl 1479.35180 Appl. Math. Lett. 125, Article ID 107731, 7 p. (2022). MSC: 35C05 35K57 PDFBibTeX XMLCite \textit{A. D. Polyanin} and \textit{V. G. Sorokin}, Appl. Math. Lett. 125, Article ID 107731, 7 p. (2022; Zbl 1479.35180) Full Text: DOI
Avila-Vales, Eric; Pérez, Ángel G. C. Dynamics of a reaction-diffusion SIRS model with general incidence rate in a heterogeneous environment. (English) Zbl 1478.35128 Z. Angew. Math. Phys. 73, No. 1, Paper No. 9, 23 p. (2022). MSC: 35K57 35B32 35B40 35K51 92D30 PDFBibTeX XMLCite \textit{E. Avila-Vales} and \textit{Á. G. C. Pérez}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 9, 23 p. (2022; Zbl 1478.35128) Full Text: DOI
Kazakov, A. L.; Kuznetsov, P. A.; Spevak, L. F. Construction of solutions to the boundary value problem with singularity for a nonlinear parabolic system. (Russian. English summary) Zbl 1511.35082 Sib. Zh. Ind. Mat. 24, No. 4, 64-78 (2021); translation in J. Appl. Ind. Math. 15, No. 4, 616-626 (2021). MSC: 35C10 35K40 35K57 PDFBibTeX XMLCite \textit{A. L. Kazakov} et al., Sib. Zh. Ind. Mat. 24, No. 4, 64--78 (2021; Zbl 1511.35082); translation in J. Appl. Ind. Math. 15, No. 4, 616--626 (2021) Full Text: DOI MNR
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng Hopf bifurcation from spike solutions for the weak coupling Gierer-Meinhardt system. (English) Zbl 1504.35034 Eur. J. Appl. Math. 32, No. 1, 113-145 (2021). MSC: 35B25 35B10 35B32 35B35 35K51 35K57 35P30 92C40 PDFBibTeX XMLCite \textit{D. Gomez} et al., Eur. J. Appl. Math. 32, No. 1, 113--145 (2021; Zbl 1504.35034) Full Text: DOI
Owolabi, Kolade M.; Pindza, Edson; Atangana, Abdon Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator. (English) Zbl 1506.35271 Chaos Solitons Fractals 152, Article ID 111468, 14 p. (2021). MSC: 35R11 26A33 35B36 35K57 65L05 65M06 92D25 93C10 PDFBibTeX XMLCite \textit{K. M. Owolabi} et al., Chaos Solitons Fractals 152, Article ID 111468, 14 p. (2021; Zbl 1506.35271) Full Text: DOI
Conte, Robert Exact solutions of a nonlinear diffusion equation with absorption and production. (English) Zbl 1497.35298 J. Nonlinear Math. Phys. 28, No. 2, 171-181 (2021). MSC: 35K57 35C05 76F60 76F20 PDFBibTeX XMLCite \textit{R. Conte}, J. Nonlinear Math. Phys. 28, No. 2, 171--181 (2021; Zbl 1497.35298) Full Text: DOI arXiv
Liang, Mengyang; Fang, Zhong Bo; Yi, Su-Cheol Blow-up analysis for a reaction-diffusion equation with gradient absorption terms. (English) Zbl 1525.35045 AIMS Math. 6, No. 12, 13774-13796 (2021). MSC: 35B44 35B40 35K60 35K59 35R45 35B33 PDFBibTeX XMLCite \textit{M. Liang} et al., AIMS Math. 6, No. 12, 13774--13796 (2021; Zbl 1525.35045) Full Text: DOI
Chan, W. Y. Simultaneous and non-simultaneous quenching for a coupled semilinear parabolic system in a \(n\)-dimensional ball with singular localized sources. (English) Zbl 1484.35259 AIMS Math. 6, No. 7, 7704-7718 (2021). MSC: 35K51 35K57 35K58 35K61 35K67 PDFBibTeX XMLCite \textit{W. Y. Chan}, AIMS Math. 6, No. 7, 7704--7718 (2021; Zbl 1484.35259) Full Text: DOI
Alekseev, Gennady V.; Brizitskii, Roman V. Analysis of the boundary value and control problems for nonlinear reaction-diffusion-convection equation. (English) Zbl 07510968 J. Sib. Fed. Univ., Math. Phys. 14, No. 4, 452-462 (2021). MSC: 35Rxx 49Kxx 35Kxx PDFBibTeX XMLCite \textit{G. V. Alekseev} and \textit{R. V. Brizitskii}, J. Sib. Fed. Univ., Math. Phys. 14, No. 4, 452--462 (2021; Zbl 07510968) Full Text: DOI MNR
Wu, Xin; Ma, Zhaohai Wave propagation in a diffusive SEIR epidemic model with nonlocal transmission and a general nonlinear incidence rate. (English) Zbl 1486.35119 Bound. Value Probl. 2021, Paper No. 87, 32 p. (2021). MSC: 35C07 35K40 35K57 92D30 PDFBibTeX XMLCite \textit{X. Wu} and \textit{Z. Ma}, Bound. Value Probl. 2021, Paper No. 87, 32 p. (2021; Zbl 1486.35119) Full Text: DOI
Cerrai, Sandra; Xi, Guangyu Incompressible viscous fluids in \(\mathbb{R}^2\) and SPDEs on graphs, in presence of fast advection and non smooth noise. (English) Zbl 1483.60090 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 3, 1636-1664 (2021). MSC: 60H15 60J25 70K65 35K57 PDFBibTeX XMLCite \textit{S. Cerrai} and \textit{G. Xi}, Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 3, 1636--1664 (2021; Zbl 1483.60090) Full Text: DOI arXiv
Johnson, Mathew A.; Perkins, Wesley R. Subharmonic dynamics of wave trains in reaction-diffusion systems. (English) Zbl 1491.37064 Physica D 422, Article ID 132891, 11 p. (2021). MSC: 37L15 35K57 35C07 PDFBibTeX XMLCite \textit{M. A. Johnson} and \textit{W. R. Perkins}, Physica D 422, Article ID 132891, 11 p. (2021; Zbl 1491.37064) Full Text: DOI arXiv
Efendiev, Messoud A.; Muradova, Antiga; Muradov, Nijat; Zischka, Hans Local vs nonlocal models for mitochondria swelling. (English) Zbl 1485.35358 Adv. Math. Sci. Appl. 30, No. 2, 377-385 (2021). MSC: 35Q92 35K57 35K61 92C37 92C50 92C17 PDFBibTeX XMLCite \textit{M. A. Efendiev} et al., Adv. Math. Sci. Appl. 30, No. 2, 377--385 (2021; Zbl 1485.35358) Full Text: Link
Stannat, Wilhelm; Wessels, Lukas Deterministic control of stochastic reaction-diffusion equations. (English) Zbl 1481.93054 Evol. Equ. Control Theory 10, No. 4, 701-722 (2021). MSC: 93C20 35R60 49K45 49J20 60H15 35K57 PDFBibTeX XMLCite \textit{W. Stannat} and \textit{L. Wessels}, Evol. Equ. Control Theory 10, No. 4, 701--722 (2021; Zbl 1481.93054) Full Text: DOI arXiv