Exploring the Impact of Reaction-Diffusion on an Ecological Diversity Mathematical Paradigm for Understanding Hantavirus Infection Dynamics

Abstract

Spatial dynamics are important in ecology because they provide insights into a myriad of spatial phenomena. Factor of these phenomena include the significant impact of habitat architecture and environmental variability on animal species survival, persistence, and harmony. To describe these complex spatial patterns, researchers are increasingly turning to reaction-diffusion systems as a valuable tool. One especially intriguing aspect of ecological research is understanding how the spatial implications of diffusion influence the dynamics of Hantavirus infection, with a particular emphasis on its interaction with alien predators and rodent species within a confined environment. When the diffusion constant, _D_ and the spatial distance, _x_ are taken into account, the relationship between diffusion and Hantavirus infection dynamics becomes very fascinating. When both _D_ and _x_ are relatively small, a remarkable phenomenon emerges: Hantavirus infection tends to reduce or even disappear within the ecosystem. This complex interaction of geographical dissemination and infection dynamics highlights the fragile balance that governs species coexistence within shared habitats. This research helps develop effective conservation strategies and provides critical knowledge for disease management and mitigation efforts, resulting in a more peaceful coexistence of humans, wildlife, and their ecosystems.