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Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687.","bibtex":"@article{Tao_Winkler_2023, title={Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities}, volume={12}, DOI={<a href=\"https://doi.org/10.3934/eect.2023031\">10.3934/eect.2023031</a>}, number={6}, journal={Evolution Equations and Control Theory}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={1676–1687} }","apa":"Tao, Y., &#38; Winkler, M. (2023). Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. <i>Evolution Equations and Control Theory</i>, <i>12</i>(6), 1676–1687. <a href=\"https://doi.org/10.3934/eect.2023031\">https://doi.org/10.3934/eect.2023031</a>","ama":"Tao Y, Winkler M. Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. <i>Evolution Equations and Control Theory</i>. 2023;12(6):1676-1687. doi:<a href=\"https://doi.org/10.3934/eect.2023031\">10.3934/eect.2023031</a>","chicago":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” <i>Evolution Equations and Control Theory</i> 12, no. 6 (2023): 1676–87. <a href=\"https://doi.org/10.3934/eect.2023031\">https://doi.org/10.3934/eect.2023031</a>.","ieee":"Y. Tao and M. Winkler, “Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities,” <i>Evolution Equations and Control Theory</i>, vol. 12, no. 6, pp. 1676–1687, 2023, doi: <a href=\"https://doi.org/10.3934/eect.2023031\">10.3934/eect.2023031</a>."},"year":"2023","issue":"6","publication_identifier":{"issn":["2163-2480"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Control and Optimization","Modeling and Simulation"],"user_id":"31496","_id":"53317","status":"public","publication":"Evolution Equations and Control Theory","type":"journal_article"},{"_id":"53320","user_id":"31496","keyword":["Mathematical Physics","Analysis","Applied Mathematics"],"language":[{"iso":"eng"}],"publication":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","type":"journal_article","status":"public","publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_updated":"2024-04-07T12:36:00Z","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_created":"2024-04-07T12:34:35Z","title":"A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion","doi":"10.4171/aihpc/73","publication_identifier":{"issn":["0294-1449","1873-1430"]},"publication_status":"published","year":"2023","citation":{"apa":"Winkler, M. (2023). 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>. <a href=\"https://doi.org/10.4171/aihpc/73\">https://doi.org/10.4171/aihpc/73</a>","short":"M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire (2023).","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>","ieee":"M. Winkler, “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, doi: <a href=\"https://doi.org/10.4171/aihpc/73\">10.4171/aihpc/73</a>.","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>."}},{"_id":"53318","user_id":"31496","keyword":["Applied Mathematics","Analysis"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Applicable Analysis","status":"public","publisher":"Informa UK Limited","date_updated":"2024-04-07T12:36:11Z","author":[{"last_name":"Li","full_name":"Li, Genglin","first_name":"Genglin"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_created":"2024-04-07T12:32:55Z","volume":103,"title":"Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities","doi":"10.1080/00036811.2023.2173183","publication_status":"published","publication_identifier":{"issn":["0003-6811","1563-504X"]},"issue":"1","year":"2023","citation":{"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>","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} }","short":"G. Li, M. Winkler, Applicable Analysis 103 (2023) 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>.","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>.","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>"},"page":"45-64","intvolume":"       103"},{"volume":33,"author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_updated":"2024-04-07T12:43:17Z","doi":"10.1142/s0218202523500045","publication_identifier":{"issn":["0218-2025","1793-6314"]},"publication_status":"published","intvolume":"        33","page":"103-138","citation":{"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>","short":"Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138.","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>.","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} }","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>.","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>.","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>"},"user_id":"31496","_id":"53328","type":"journal_article","status":"public","date_created":"2024-04-07T12:43:13Z","publisher":"World Scientific Pub Co Pte Ltd","title":"Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers","issue":"01","year":"2023","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Modeling and Simulation"],"publication":"Mathematical Models and Methods in Applied Sciences","abstract":[{"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>","lang":"eng"}]},{"status":"public","publication":"Calculus of Variations and Partial Differential Equations","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"article_number":"180","user_id":"31496","_id":"53324","intvolume":"        62","citation":{"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>.","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>.","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} }","short":"J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023).","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>"},"year":"2023","issue":"6","publication_identifier":{"issn":["0944-2669","1432-0835"]},"publication_status":"published","doi":"10.1007/s00526-023-02523-5","title":"A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system","volume":62,"date_created":"2024-04-07T12:40:02Z","author":[{"last_name":"Ahn","full_name":"Ahn, Jaewook","first_name":"Jaewook"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-07T12:40:06Z"},{"publication":"Nonlinear Analysis: Real World Applications","type":"journal_article","status":"public","user_id":"31496","_id":"53329","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Economics","Econometrics and Finance","General Engineering","General Medicine","Analysis"],"article_number":"103820","publication_identifier":{"issn":["1468-1218"]},"publication_status":"published","intvolume":"        71","citation":{"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>","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} }","short":"Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (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>","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>.","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>."},"year":"2023","volume":71,"author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2024-04-07T12:43:49Z","date_updated":"2024-04-07T12:43:53Z","publisher":"Elsevier BV","doi":"10.1016/j.nonrwa.2022.103820","title":"Analysis of a chemotaxis-SIS epidemic model with unbounded infection force"}]
