Applications of Differential Equations to Mathematical Biology
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Biology".
Deadline for manuscript submissions: closed (25 April 2023) | Viewed by 26008
Special Issue Editors
Interests: differential equations includes theory of the Quaternion Differential Equations, Hartman-Grobman linearization and spectrum; travelling waves of PDE models; qualitative theory of ODEs such as limit cycles and periodic solution; stability analysis in nonlinear systems, mathematical biology, neural networks (including continuous, discrete and impulsive systems)
Interests: homotopy analysis method; chaotic theory and bifurcation theory; bursting oscillation
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Special Issue Information
Dear Colleagues,
In the last few decades, theories of the ordinary or partial differential equations has become a rapidly growing area of research. The attractiveness of this field not only derives from theoretical interests, but also differential equations, which have many applications in several phenomena observed in applied sciences. In particular, mathematical biology has attracted many researchers’ interests. We invite researchers to submit original research articles as well as review articles on theory of ordinary or partial differential equations and their applications to mathematical biology. Potential topics included, but are not limited to:
- Special orbits for ordinary differential equations and their applications to mathematical biology;
- Lyapunov stability for conservative and dissipative systems and their applications to mathematical biology;
- Dichotomy and dynamical spectrum;
- Topological linearization and topological conjugacy;
- Stability of differential, functional and difference equations and their applications to mathematical biology;
- Qualitative theory of solutions of dynamic systems and their applications to mathematical biology;
- Periodic and almost periodic solutions of differential, functional, impulsive, and difference equations and their applications to mathematical biology;
- Periodic and almost periodic solutions of neutral equations;
- Bifurcations and chaos with their applications to mathematical biology.
Prof. Dr. Yonghui Xia
Prof. Dr. Youhua Qian
Guest Editors
Manuscript Submission Information
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Keywords
- stability
- bifurcations and chaos
- mathematical biology
- periodic and almost periodic solutions
- dichotomy and dynamical spectrum
- topological conjugacy
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