Research Article
A Remark on Stochastic Climate-Finance SEIR Model for Climate-Induced Infectious Diseases in Southern Nigeria
Imekela Donaldson Ezekiel
,
Sunday Onos Edeki*
Issue:
Volume 11, Issue 2, June 2026
Pages:
24-31
Received:
10 March 2026
Accepted:
27 March 2026
Published:
7 May 2026
DOI:
10.11648/j.ijssam.20261102.11
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Abstract: Climate change has worsened the spread of infectious diseases across the tropics, especially in Southern Nigeria, where fluctuations in temperature, rainfall, and flood aid the spread of vector-borne and waterborne diseases. These environmental disruptions raise levels of morbidity and cost the health and community sectors heavily. The counteractions against these disruptions, hence, demand an inclusive strategy of public health interventions, linked with adaptive climate finance mechanisms. In this study, a stochastic climate–finance SEIR model is developed to investigate the dynamic interaction between infectious disease transmission, climate variability, and financial intervention policies. This work sets the stage for studying the stochastic investment SEIR model intact, which is a representative model to study the complex intrinsic relationship involving climate variability, financial interventions, and the transmission of infectious diseases. A thorough analysis, seasoned with the global existence and uniqueness, ruled positivity and boundedness of the system, and stochastic stability of the disease-free equilibrium were performed using Lyapunov techniques and Itô calculus. Following a careful investigation process made in this study, a stochastic reproduction number was derived, showing how noise affects epidemic thresholds. Numerical simulations were also performed to further show the impact of climate variability and financial responsiveness on epidemic trajectories. The numerical results showed that adaptive management of climate change and climate finance diminished the highest magnitudes of infections while compressing the time needed for epidemics to spiral all out of control in the presence of effectively and tactically employed environmental forcing. The outcome serves as the creation of a structural definition within mathematics, with the sole aim of enabling robust climate-health financing towards the mitigation of infectious disease risks in Southern Nigeria.
Abstract: Climate change has worsened the spread of infectious diseases across the tropics, especially in Southern Nigeria, where fluctuations in temperature, rainfall, and flood aid the spread of vector-borne and waterborne diseases. These environmental disruptions raise levels of morbidity and cost the health and community sectors heavily. The counteractio...
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