Dynamics and Differential Equations in Mathematical Biology
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Biology".
Deadline for manuscript submissions: 31 January 2025 | Viewed by 1616
Special Issue Editor
Special Issue Information
Dear Colleagues,
The first half of the 20th century can be seen as a golden age for the use of differential equations in the modeling of phenomena arising from the life sciences. This period gathers significant milestones: the rediscovering of the Verhulst logistic equation by Pearl, the predator–prey equations introduced by Lotka and Volterra, the Mosquito’s theorem of Ross, the SIR-SIS epidemiological models introduced by Kermack and McKendrick, the chemostat equations proposed by Slizard and Novick, the Nicholson’s Blowflies equation, the action potential in neurons described by the FitzHugh–Nagumo and Hodgkin–Huxley models, etc. These models describe a long and well-known history of achievements.
At the same time, the research on the qualitative properties of the solutions of differential equations biologically oriented has stimulated the development of new mathematical concepts and theories, e.g, the notion of uniform persistence and the theory of monotone dynamical systems (population dynamics) or the theory of indirect effects in trophic chains (ecology). Some ideas in chaos theory were suggested using models inspired in biology. In addition, several conjectures (solved and unsolved) of mathematical interest arise from equations describing a biological phenomenon, such as the Wright conjecture, for example.
This Special Issue focuses on the virtuous and endless encounters among modeling of natural phenomena, the theoretical questions arising from these models and the development of new concepts and theories.
Contributions are invited from those working in the mathematical modeling of biological phenomena using differential equations (partial, ordinary, delay or impulsive) and those who are interested in the development of the qualitative theory inspired by biologically oriented models.
We look forward to receiving your submissions.
Dr. Gonzalo Robledo
Guest Editor
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- population dynamics
- mathematical epidemiology
- uniform persistence
- bioprocesses
- optimal control applied to life sciences
