A kinetic model with time‐dependent proliferative/destructive rates
This paper presents a new kinetic model with time‐dependent proliferative/destructive parameters, where the activity variable of the system attains its values in a discrete real subset. Therefore, a system of nonautonomous nonlinear ordinary differential equations is gained, with the related Cauchy...
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2024-05, Vol.47 (7), p.5376-5391 |
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| container_title | Mathematical methods in the applied sciences |
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| creator | Menale, Marco Soares, Ana Jacinta |
| description | This paper presents a new kinetic model with time‐dependent proliferative/destructive parameters, where the activity variable of the system attains its values in a discrete real subset. Therefore, a system of nonautonomous nonlinear ordinary differential equations is gained, with the related Cauchy problem. A first result of local existence and uniqueness of positive and bounded solution is proved. Then, the possibility of extend this result globally in time is discussed, with respect to the shape of nonconservative time‐dependent parameters. Numerical simulations are performed for some scenarios, corresponding to different shapes of time‐dependent parameters themselves. Furthermore, the pattern and long‐time behavior of solutions are numerically analyzed. Finally, these results show that equilibria and oscillations may occur. |
| doi_str_mv | 10.1002/mma.9868 |
| format | Article |
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| ispartof | Mathematical methods in the applied sciences, 2024-05, Vol.47 (7), p.5376-5391 |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | interacting systems kinetic theory Nonlinear differential equations ordinary differential equations Parameters Time dependence time‐dependent parameters |
| title | A kinetic model with time‐dependent proliferative/destructive rates |
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