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Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire (2023).","chicago":"Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, 2023. <a href=\"https://doi.org/10.4171/aihpc/73\">https://doi.org/10.4171/aihpc/73</a>.","mla":"Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, European Mathematical Society - EMS - Publishing House GmbH, 2023, doi:<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>.","bibtex":"@article{Winkler_2023, title={A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion}, DOI={<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2023} }","ama":"Winkler M. A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>. Published online 2023. doi:<a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>"}},{"status":"public","_id":"53318","publisher":"Informa UK Limited","page":"45-64","volume":103,"user_id":"31496","citation":{"ama":"Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. <i>Applicable Analysis</i>. 2023;103(1):45-64. doi:<a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>","bibtex":"@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities}, volume={103}, DOI={<a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>}, number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={45–64} }","mla":"Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i>, vol. 103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi:<a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>.","chicago":"Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Applicable Analysis</i> 103, no. 1 (2023): 45–64. <a href=\"https://doi.org/10.1080/00036811.2023.2173183\">https://doi.org/10.1080/00036811.2023.2173183</a>.","short":"G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64.","apa":"Li, G., &#38; Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. <i>Applicable Analysis</i>, <i>103</i>(1), 45–64. <a href=\"https://doi.org/10.1080/00036811.2023.2173183\">https://doi.org/10.1080/00036811.2023.2173183</a>","ieee":"G. Li and M. Winkler, “Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities,” <i>Applicable Analysis</i>, vol. 103, no. 1, pp. 45–64, 2023, doi: <a href=\"https://doi.org/10.1080/00036811.2023.2173183\">10.1080/00036811.2023.2173183</a>."},"author":[{"last_name":"Li","first_name":"Genglin","full_name":"Li, Genglin"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["0003-6811","1563-504X"]},"year":"2023","title":"Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities","intvolume":"       103","publication_status":"published","date_updated":"2024-04-07T12:36:11Z","language":[{"iso":"eng"}],"doi":"10.1080/00036811.2023.2173183","issue":"1","publication":"Applicable Analysis","date_created":"2024-04-07T12:32:55Z","type":"journal_article","keyword":["Applied Mathematics","Analysis"]},{"status":"public","user_id":"31496","volume":33,"page":"103-138","publisher":"World Scientific Pub Co Pte Ltd","_id":"53328","citation":{"bibtex":"@article{Tao_Winkler_2023, title={Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers}, volume={33}, DOI={<a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={103–138} }","ama":"Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. <i>Mathematical Models and Methods in Applied Sciences</i>. 2023;33(01):103-138. doi:<a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>","mla":"Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 33, no. 01, World Scientific Pub Co Pte Ltd, 2023, pp. 103–38, doi:<a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>.","short":"Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.","chicago":"Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” <i>Mathematical Models and Methods in Applied Sciences</i> 33, no. 01 (2023): 103–38. <a href=\"https://doi.org/10.1142/s0218202523500045\">https://doi.org/10.1142/s0218202523500045</a>.","ieee":"Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 33, no. 01, pp. 103–138, 2023, doi: <a href=\"https://doi.org/10.1142/s0218202523500045\">10.1142/s0218202523500045</a>.","apa":"Tao, Y., &#38; Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>33</i>(01), 103–138. <a href=\"https://doi.org/10.1142/s0218202523500045\">https://doi.org/10.1142/s0218202523500045</a>"},"date_updated":"2024-04-07T12:43:17Z","publication_status":"published","intvolume":"        33","title":"Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers","year":"2023","publication_identifier":{"issn":["0218-2025","1793-6314"]},"author":[{"first_name":"Youshan","last_name":"Tao","full_name":"Tao, Youshan"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"doi":"10.1142/s0218202523500045","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:p> As a simplified version of a three-component taxis cascade model accounting for different migration strategies of two population groups in search of food, a two-component nonlocal nutrient taxis system is considered in a two-dimensional bounded convex domain with smooth boundary. For any given conveniently regular and biologically meaningful initial data, smallness conditions on the prescribed resource growth and on the initial nutrient signal concentration are identified which ensure the global existence of a global classical solution to the corresponding no-flux initial-boundary value problem. Moreover, under additional assumptions on the food production source these solutions are shown to be bounded, and to stabilize toward semi-trivial equilibria in the large time limit, respectively. </jats:p>"}],"publication":"Mathematical Models and Methods in Applied Sciences","issue":"01","keyword":["Applied Mathematics","Modeling and Simulation"],"type":"journal_article","date_created":"2024-04-07T12:43:13Z"},{"issue":"6","publication":"Calculus of Variations and Partial Differential Equations","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"date_created":"2024-04-07T12:40:02Z","date_updated":"2024-04-07T12:40:06Z","publication_status":"published","intvolume":"        62","year":"2023","title":"A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system","publication_identifier":{"issn":["0944-2669","1432-0835"]},"author":[{"first_name":"Jaewook","last_name":"Ahn","full_name":"Ahn, Jaewook"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"doi":"10.1007/s00526-023-02523-5","article_number":"180","language":[{"iso":"eng"}],"citation":{"bibtex":"@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}, volume={62}, DOI={<a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>}, number={6180}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and Winkler, Michael}, year={2023} }","ama":"Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. <i>Calculus of Variations and Partial Differential Equations</i>. 2023;62(6). doi:<a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>","mla":"Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>.","short":"J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).","chicago":"Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” <i>Calculus of Variations and Partial Differential Equations</i> 62, no. 6 (2023). <a href=\"https://doi.org/10.1007/s00526-023-02523-5\">https://doi.org/10.1007/s00526-023-02523-5</a>.","ieee":"J. Ahn and M. Winkler, “A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 62, no. 6, Art. no. 180, 2023, doi: <a href=\"https://doi.org/10.1007/s00526-023-02523-5\">10.1007/s00526-023-02523-5</a>.","apa":"Ahn, J., &#38; Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. <i>Calculus of Variations and Partial Differential Equations</i>, <i>62</i>(6), Article 180. <a href=\"https://doi.org/10.1007/s00526-023-02523-5\">https://doi.org/10.1007/s00526-023-02523-5</a>"},"status":"public","user_id":"31496","volume":62,"publisher":"Springer Science and Business Media LLC","_id":"53324"},{"citation":{"ieee":"Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with unbounded infection force,” <i>Nonlinear Analysis: Real World Applications</i>, vol. 71, Art. no. 103820, 2023, doi: <a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>.","apa":"Tao, Y., &#38; Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>, <i>71</i>, Article 103820. <a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">https://doi.org/10.1016/j.nonrwa.2022.103820</a>","short":"Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).","chicago":"Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i> 71 (2023). <a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">https://doi.org/10.1016/j.nonrwa.2022.103820</a>.","mla":"Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 71, 103820, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>.","bibtex":"@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic model with unbounded infection force}, volume={71}, DOI={<a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>}, number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }","ama":"Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>. 2023;71. doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2022.103820\">10.1016/j.nonrwa.2022.103820</a>"},"publication":"Nonlinear Analysis: Real World Applications","date_created":"2024-04-07T12:43:49Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Economics","Econometrics and Finance","General Engineering","General Medicine","Analysis"],"publication_identifier":{"issn":["1468-1218"]},"author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"year":"2023","status":"public","title":"Analysis of a chemotaxis-SIS epidemic model with unbounded infection force","intvolume":"        71","publication_status":"published","date_updated":"2024-04-07T12:43:53Z","_id":"53329","publisher":"Elsevier BV","language":[{"iso":"eng"}],"article_number":"103820","volume":71,"user_id":"31496","doi":"10.1016/j.nonrwa.2022.103820"},{"citation":{"apa":"Li, G., &#38; Winkler, M. (2023). Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. <i>Communications in Mathematical Sciences</i>, <i>21</i>(2), 299–322. <a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>","ieee":"G. Li and M. Winkler, “Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities,” <i>Communications in Mathematical Sciences</i>, vol. 21, no. 2, pp. 299–322, 2023, doi: <a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>.","short":"G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322.","chicago":"Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical Sciences</i> 21, no. 2 (2023): 299–322. <a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">https://doi.org/10.4310/cms.2023.v21.n2.a1</a>.","mla":"Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” <i>Communications in Mathematical Sciences</i>, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322, doi:<a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>.","ama":"Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. <i>Communications in Mathematical Sciences</i>. 2023;21(2):299-322. doi:<a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>","bibtex":"@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}, volume={21}, DOI={<a href=\"https://doi.org/10.4310/cms.2023.v21.n2.a1\">10.4310/cms.2023.v21.n2.a1</a>}, number={2}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322} }"},"status":"public","page":"299-322","_id":"53326","publisher":"International Press of Boston","user_id":"31496","volume":21,"issue":"2","publication":"Communications in Mathematical Sciences","date_created":"2024-04-07T12:41:49Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"title":"Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities","year":"2023","author":[{"first_name":"Genglin","last_name":"Li","full_name":"Li, Genglin"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["1539-6746","1945-0796"]},"publication_status":"published","date_updated":"2024-04-07T12:41:54Z","intvolume":"        21","language":[{"iso":"eng"}],"doi":"10.4310/cms.2023.v21.n2.a1"}]