A meta-model of diffusively coupled Lotka-Volterra systems used to model various biomedical phenomena is considered in this paper. Necessary and sufficient conditions for the existence of th order solitary solutions are derived via a modified inverse balancing technique. It is shown that as the highest possible solitary solution order is increased, the number of nonzero solution parameter values remains constant for solitary solutions of order . Analytical and computational experiments are used to illustrate the obtained results.
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http://dx.doi.org/10.1186/s13662-021-03300-4 | DOI Listing |
Sci Rep
January 2025
Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, 71491, Tabuk, Saudi Arabia.
In this study, the -model expansion method is showed to be useful for finding solitary wave solutions to the Klein-Gordon (KG) equation. We develop a variety of solutions, including Jacobi elliptic functions, hyperbolic forms, and trigonometric forms, so greatly enhancing the range of exact solutions attainable. The 2D, 3D, and contour plots clearly show different types of solitary waves, like bright, dark, singular, and periodic solitons.
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January 2025
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia.
In applied research, fractional calculus plays an important role for comprehending a wide range of intricate physical phenomena. One of the Klein-Gordon model's peculiar case yields the Phi-four equation. Additionally, throughout the past few decades it has been utilized to explain the kink and anti-kink solitary waveform contacts that occur in biological systems and in the field of nuclear mechanics.
View Article and Find Full Text PDFPLoS One
January 2025
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
The (3+1)-dimensional mKdV-ZK model is an important framework for studying the dynamic behavior of waves in mathematical physics. The goal of this study is to look into more generic travelling wave solutions (TWSs) for the generalized ion-acoustic scenario in three dimensions. These solutions exhibit a combination of rational, trigonometric, hyperbolic, and exponential solutions that are concurrently generated by the new auxiliary equation and the unified techniques.
View Article and Find Full Text PDFInsects
November 2024
Department Plants and Crops, Faculty of Bioscience Engineering, Ghent University, Valentin Vaerwyckweg 1, 9000 Gent, Belgium.
Agricultural intensification has led to significant declines in beneficial insect populations, such as pollinators and natural enemies, along with their ecosystem services. The installation of perennial flower margins in farmland is a popular agri-environmental scheme to mitigate these losses, promoting biodiversity, pollination, and pest control. However, outcomes can vary widely, and recent insights into flower margins in an agricultural context suggest that management could be an important contributor to this variation.
View Article and Find Full Text PDFTomography
December 2024
Department of Radiology, University of Massachusetts Medical Center, Worcester, MA 01655, USA.
Objective: Image-guided diagnosis and treatment of lung lesions is an active area of research. With the growing number of solutions proposed, there is also a growing need to establish a standard for the evaluation of these solutions. Thus, realistic phantom and preclinical environments must be established.
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