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Compressible NavierStokes equations with vacuum state in one dimension
Eventual compactness for semiflows generated by nonlinear agestructured models
1.  Department of Mathematics, Université du Havre, 76058 Le Havre, France 
2.  Department of Mathematics, Arizona State University, Tempe, AZ 852871804, United States 
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Yicang Zhou, Paolo Fergola. Dynamics of a discrete agestructured SIS models. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 841850. doi: 10.3934/dcdsb.2004.4.841 
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Zhihua Liu, Rong Yuan. Takens–Bogdanov singularity for age structured models. Discrete and Continuous Dynamical Systems  B, 2020, 25 (6) : 20412056. doi: 10.3934/dcdsb.2019201 
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Yicang Zhou, Zhien Ma. Global stability of a class of discrete agestructured SIS models with immigration. Mathematical Biosciences & Engineering, 2009, 6 (2) : 409425. doi: 10.3934/mbe.2009.6.409 
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Zhihua Liu, Pierre Magal, Shigui Ruan. Oscillations in agestructured models of consumerresource mutualisms. Discrete and Continuous Dynamical Systems  B, 2016, 21 (2) : 537555. doi: 10.3934/dcdsb.2016.21.537 
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Andrea Franceschetti, Andrea Pugliese, Dimitri Breda. Multiple endemic states in agestructured $SIR$ epidemic models. Mathematical Biosciences & Engineering, 2012, 9 (3) : 577599. doi: 10.3934/mbe.2012.9.577 
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Zhilan Feng, Qing Han, Zhipeng Qiu, Andrew N. Hill, John W. Glasser. Computation of $\mathcal R $ in agestructured epidemiological models with maternal and temporary immunity. Discrete and Continuous Dynamical Systems  B, 2016, 21 (2) : 399415. doi: 10.3934/dcdsb.2016.21.399 
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Yingli Pan, Ying Su, Junjie Wei. Bistable waves of a recursive system arising from seasonal agestructured population models. Discrete and Continuous Dynamical Systems  B, 2019, 24 (2) : 511528. doi: 10.3934/dcdsb.2018184 
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Fadia BekkalBrikci, Khalid Boushaba, Ovide Arino. Nonlinear age structured model with cannibalism. Discrete and Continuous Dynamical Systems  B, 2007, 7 (2) : 201218. doi: 10.3934/dcdsb.2007.7.201 
[9] 
B. San Martín, Kendry J. Vivas. Asymptotically sectionalhyperbolic attractors. Discrete and Continuous Dynamical Systems, 2019, 39 (7) : 40574071. doi: 10.3934/dcds.2019163 
[10] 
Jianxin Yang, Zhipeng Qiu, XueZhi Li. Global stability of an agestructured cholera model. Mathematical Biosciences & Engineering, 2014, 11 (3) : 641665. doi: 10.3934/mbe.2014.11.641 
[11] 
Fred Brauer. A model for an SI disease in an age  structured population. Discrete and Continuous Dynamical Systems  B, 2002, 2 (2) : 257264. doi: 10.3934/dcdsb.2002.2.257 
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Ryszard Rudnicki, Radosław Wieczorek. On a nonlinear agestructured model of semelparous species. Discrete and Continuous Dynamical Systems  B, 2014, 19 (8) : 26412656. doi: 10.3934/dcdsb.2014.19.2641 
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Janet Dyson, Eva Sánchez, Rosanna VillellaBressan, Glenn F. Webb. An age and spatially structured model of tumor invasion with haptotaxis. Discrete and Continuous Dynamical Systems  B, 2007, 8 (1) : 4560. doi: 10.3934/dcdsb.2007.8.45 
[14] 
Jacek Banasiak, Aleksandra Falkiewicz. A singular limit for an age structured mutation problem. Mathematical Biosciences & Engineering, 2017, 14 (1) : 1730. doi: 10.3934/mbe.2017002 
[15] 
Mohammed Nor Frioui, Tarik Mohammed Touaoula, Bedreddine Ainseba. Global dynamics of an agestructured model with relapse. Discrete and Continuous Dynamical Systems  B, 2020, 25 (6) : 22452270. doi: 10.3934/dcdsb.2019226 
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P.E. Kloeden, Desheng Li, Chengkui Zhong. Uniform attractors of periodic and asymptotically periodic dynamical systems. Discrete and Continuous Dynamical Systems, 2005, 12 (2) : 213232. doi: 10.3934/dcds.2005.12.213 
[17] 
Hongyong Cui. Convergences of asymptotically autonomous pullback attractors towards semigroup attractors. Discrete and Continuous Dynamical Systems  B, 2019, 24 (8) : 35253535. doi: 10.3934/dcdsb.2018276 
[18] 
A. Ducrot. Travelling wave solutions for a scalar agestructured equation. Discrete and Continuous Dynamical Systems  B, 2007, 7 (2) : 251273. doi: 10.3934/dcdsb.2007.7.251 
[19] 
Geni Gupur, XueZhi Li. Global stability of an agestructured SIRS epidemic model with vaccination. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 643652. doi: 10.3934/dcdsb.2004.4.643 
[20] 
Shengqin Xu, Chuncheng Wang, Dejun Fan. Stability and bifurcation in an agestructured model with stocking rate and time delays. Discrete and Continuous Dynamical Systems  B, 2019, 24 (6) : 25352549. doi: 10.3934/dcdsb.2018264 
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