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What is Equilibrium Points

Climate Change and Anthropogenic Impacts on Health in Tropical and Subtropical Regions
They are points (x(s),y(s)) for solution curves x and y of a system of differential equations with independent variable t, at which x(s) and y(s) are equal.
Published in Chapter:
Network Modelling on Tropical Diseases vs. Climate Change
G. Udhaya Sankar (Alagappa University, India) and C. Ganesa Moorthy (Alagappa University, India)
DOI: 10.4018/978-1-7998-2197-7.ch004
This chapter has proposed a systematic method to design mathematical models. These models have been associated with counting of white blood cells, counting of red blood cells, population of mosquitoes, and counting of foreign bodies like virus, bacteria, and parasite in a human body. Interpretations for critical points or equilibrium points have been given for network systems of differential equations associated with models. A practical method of applying these interpretations in administrating medicines to get control over diseases has been given. Order of priority in three types of critical points, namely, stable critical points, unstable critical points, and asymptotically stable critical points, has been given. Conversions of differential equations of models into integral equations and applying Picard's iteration method to solve integral equations have been explained. A step-by-step approach has been used in designing models, solving models, and interpreting solutions of models for tropical diseases.
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