A probabilistic model of competitive multi-ecological interactions for analyzing the impact of noise within sight of aquatic hyacinth

The article introduces a concept of probabilistic ecological competition from the aquatic hyacinth perspective, which often helps to track and analyze the sustainability of different species involved in the ecological system. A case study is presented to investigate the impact of the pH content in the eutrophication of aquatic hyacinths. To understand the interaction of aquatic species, we propose a mathematical model by considering the components of aquatic reserve structure in a maritime condition that involves two locales: aquatic hyacinth region and aquatic hyacinth liberated region. The model depicts a quantitative correlation between aquatic hyacinth and aquatic biomass. We analyze the stability of the steady states, which can help to understand the persistence and extinction of the species in the two regions mentioned above. Numerical simulation is carried out to conceive the distribution of aquatic species in two aquatic hyacinth regions. Furthermore, we impose white noise in the model to address the environmental heterogeneity of aquatic structures and subsequently inspect their influences on the inhabitants of the aquatic hyacinth region and aquatic hyacinth liberated region. A sensitivity analysis of the parameters is performed to identify the dominant parameters in the model. The analysis shows that numerical investigations comply with the stochasticity analysis of the system. Numerical results reveal that the amplitude of oscillations of the species of aquatic hyacinth region is higher than that of the aquatic hyacinth liberated region for any choice of the white noises, which has a reasonable agreement with the real aquatic biomass.