Differential equations serve as powerful mathematical tools for studying biomathematics, where symmetry and asymmetry are fundamental phenomena in biological systems. Investigating these properties in differential equations is crucial for uncovering the underlying mechanisms of organismal interactions and dynamic behaviors.
This Special Issue highlights recent advances in the application of differential equations to biomathematics, with a particular focus on the roles of symmetry and asymmetry in biological modeling. Key topics include the following:
- Mathematical modeling in biology—Development and analysis of differential equation-based models.
- Computational methods—Novel techniques for solving biologically relevant differential equations.
- Complex biological systems—Exploration of symmetry and asymmetry in ecological, physiological, and evolutionary dynamics.
By bridging mathematics, biology, and computational science, this Special Issue seeks to foster interdisciplinary collaboration, stimulate innovative research, and advance the field of biomathematics.
The Special Issue contains eight papers contributed by researchers from China, Lithuania, and the USA, encompassing a broad range of critical issues and cutting-edge research topics. These topics include Positive Periodic Solution of Phytoplankton–Zooplankton Model on Time Scales [1]; Stability Analysis of Biological Systems Under Threshold Conditions [2]; Modeling the Digestion Process by a Distributed Delay Differential System [3]; Diffusion Mechanisms for Both Living and Dying Trees Across 37 Years in a Forest Stand in Lithuania’s Kazlų Rūda Region [4]; Optimal Harvesting Strategies for Timber and Non-Timber Forest Products with Nonlinear Harvesting Terms [5]; Bogdanov–Takens Bifurcation of Kermack–McKendrick Model with Nonlinear Contact Rates Caused by Multiple Exposures [6]; Stability and Hopf Bifurcation of a Delayed Predator–Prey Model with a Stage Structure for Generalist Predators and a Holling Type-II Functional Response [7]; and Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate [8].
We anticipate that this Special Issue will serve as a valuable resource for mathematicians, biologists, and computational scientists seeking to engage with contemporary advancements in differential equations and their applications in biomathematics.
Author Contributions
L.Z.: conceptualization, investigation, writing—original draft. J.L. and T.Z.: discussing, writing—review and editing. All authors have read and agreed to the published version of the manuscript.
Funding
This research received no external funding.
Data Availability Statement
No new data were created.
Conflicts of Interest
The authors declare no conflict of interest.
References
- Li, Y.; Zheng, F. Positive Periodic Solution of Phytoplankton–Zooplankton Model on Time Scales. Symmetry 2026, 18, 45. [Google Scholar] [CrossRef]
- Mahbuba, J.E.; Wang, X.-S. Stability Analysis of Biological Systems Under Threshold Conditions. Symmetry 2025, 17, 1193. [Google Scholar] [CrossRef]
- Liu, J.; Guo, Z.; Guo, H. Modeling the Digestion Process by a Distributed Delay Differential System. Symmetry 2025, 17, 604. [Google Scholar] [CrossRef]
- Petrauskas, E.; Rupšys, P. Diffusion Mechanisms for Both Living and Dying Trees Across 37 Years in a Forest Stand in Lithuania’s Kazlų Rūda Region. Symmetry 2025, 17, 213. [Google Scholar] [CrossRef]
- Zhang, Y.; Hao, L.; Zhang, S. Optimal Harvesting Strategies for Timber and Non-Timber Forest Products with Nonlinear Harvesting Terms. Symmetry 2024, 16, 806. [Google Scholar] [CrossRef]
- Li, J.; Ma, M. Bogdanov–Takens Bifurcation of Kermack–McKendrick Model with Nonlinear Contact Rates Caused by Multiple Exposures. Symmetry 2024, 16, 688. [Google Scholar] [CrossRef]
- Liang, Z.-W.; Meng, X.-Y. Stability and Hopf Bifurcation of a Delayed Predator–Prey Model with a Stage Structure for Generalist Predators and a Holling Type-II Functional Response. Symmetry 2024, 16, 597. [Google Scholar] [CrossRef]
- Wang, X.; Zhang, L.; Zhang, X.-B. Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate. Symmetry 2024, 16, 467. [Google Scholar] [CrossRef]
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