Ecological Modeling

A Mathematical Analysis of Hydra

Abstract Hydrae present interesting physical properties, chemical properties and finally, mathematical properties. This organism may not be able to consciously make any computations, but that does not mean that mathematics cannot be used to model behaviors of this organism and gain a greater understanding of how it functions. The goal

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An Investigation into the Mathematical Modeling of the Properties of Gonium

ABSTRACT  The multicellular algae of genus Gonium have been shown to be a remarkable feat of evolution. It can be difficult to fully appreciate the colonial algae’s ingenuity when only observing the organism. By attempting to model their behaviour, insight into the beauty of their design can be gained in

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Deciphering Daphnia Dynamics: A Mathematical Odyssey into Aquatic Ecosystems

Abstract Amongst all the chaos found in aquatic ecosystems, Daphnia emerges as a small yet pivotal player, embodying the complexity and adaptability of life. This study presents a mathematical journey into Daphnia populations, revealing the sophisticated interplay between their unique reproductive strategies, survival tactics, and trophic interactions. Cyclical parthenogenesis, a

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Shaping Success: A Mathematical Exploration of Cyanobacteria across Scales

ABSTRACT Mathematical models and functions are familiar tools used to study biological systems and interactions, in particular with the study of infectious diseases. Epidemic and pandemic dynamics, however, are only one example of their applications for adding analysis, understanding, and insight into complex topics. In this essay, cyanobacteria’s size and

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Exploring the Mathematics of Unicellular Green Algae (Chlamydomonas Reinhardtii)

Mathematics could be described as an area of knowledge involving the use of numbers, equations, and models to describe phenomena, but at its essence, mathematics is the language of the universe. Accordingly, every aspect of the natural world is governed by this “language,” and with each passing day, humanity draws…

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Copepods Through the Lens of Math

Abstract The silent artistic order of the natural world has been revealed through mathematical concepts such as the Fibonacci sequence or the Golden Ratio. The beauty of nature is not random chaos but a manifestation of seemingly abstract mathematics. This review paper will present copepods through the distinct lens of

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The Mathematics of Tardigrade Behavior and Development

Tardigrades are equipped with a plethora of features that, most notably, allow them to cope with very harsh conditions that very few organisms are known to be able to withstand. In addition to these tools themselves that they possess, tardigrades’ peculiarity can also be assessed by models that successfully represent…

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Mathematical Marine Models of Coral Polyps

While coral polyps have been extensively studied across various scientific perspectives, this paper will explore them from a Mathematical perspective. Coral’s spontaneous growth pattern was mathematically modelled and explained from a polyp-oriented perspective, showing how polyps contribute to growth patterns. Moreover, corals are heavily reliant on their environment which contributes…

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Mathematical Modelling of Dinoflagellate Swimming, Population Dynamics and Interactions with Other Organisms

Mathematical models have been made to determine the vertical migration of dinoflagellates while considering the availability of nitrogen. Studies have shown that low nitrogen abundances lead to dinoflagellates avoiding sunlight, and not performing diel vertical migration. Dinoflagellate blooms take place under specific conditions of irradiance, temperature, and salinity. A model…

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Exploring Aquatic Fungi Through Mathematical Tools

 The beauty of mathematics lies in its ability to create models to simplify complex things in real life and give explanations to them. Models are a great way to study and analyze species in nature and it is the same for aquatic fungi. Mathematical models also help us predict their…

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Mathematical modeling of aerodynamic functions of aquatic and avian tails

The world of mathematics holds much value when it comes to computing, establishing, and resolving the many different complex relationships found in natural sciences. This, naturally, holds true for biological systems and their vast array of unique biomechanical tools and even for the complex diversity in social behaviors. In this…

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Patterns and Networks in Animal Colonies

Abstract This essay analyses an assortment of animal homes and the way they are constructed, maintained, and affected due to the environment that surrounds them. Since the usage of a refuge has been moulded by the evolution of animals in their original environment, recurring patterns can be observed when analyzing

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