Background Local ecosystems and global agriculture are contingent upon the mutualistic relationship between pollinators and floral plants. In symbiosis, pollinators increase agricultural production by improving plant cross-pollination, genetic variety, crop quality, and yield. The potential impact on plant reproduction is particularly alarming due to the decline of pollinating insects. Habitat loss, diseases, climate change, pesticides, and predation have all contributed to the decline of pollinator species. High-speed wind is a significant factor that impacts the mutualistic relationship between plants and pollinators. Methods Studying the dynamics of interactions between blooming plants and honeybee populations is crucial for addressing honeybee decline and ensuring sustainable ecosystems. This work employs mathematical modeling to analyze the dynamics of a blooming plant, honeybee population, and honey production symbiosis, with a special emphasis on the effect of high-speed wind flow. Results The stability of various ecological equilibria has been investigated using dynamical system theory. Bifurcation phenomena, such as transcritical and Hopf bifurcations, have been discovered using bifurcation theory. Furthermore, the numerical results show that high wind flow can cause the extinction of the honeybee population and honey production. Conclusions Due to the rapid depletion of flowering plants and the high rate of wind speed, the populations of honeybees and blossoming plants are at risk of becoming unsustainable. However, the combination of reduced wind flow and increased symbiotic strengths can bolster the stability and sustainability of blooming plant-honeybee-honey production ecosystems. These findings inform conservation policies targeted toward protecting honeybees and increasing biodiversity.
AL-Aali et al. (Wed,) studied this question.