CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

On Temperature-Dependent and Spatially Structured Dengue Transmission Models: A Mathematical Review

Abdullahi Abdu (Department of Mathematics and Data Sciences, Faculty of Mathematics and Natural Sciences, Andalas University, Padang, West Sumatra, Indonesia.)
Admi Nazra (Department of Mathematics and Data Sciences, Faculty of Mathematics and Natural Sciences, Andalas University, Padang, West Sumatra, Indonesia.)
Arrival Rince Putri (Department of Mathematics and Data Sciences, Faculty of Mathematics and Natural Sciences, Andalas University, Padang, West Sumatra, Indonesia.)
Mahdhivan Syafwan (Department of Mathematics and Data Sciences, Faculty of Mathematics and Natural Sciences, Andalas University, Padang, West Sumatra, Indonesia.)



Article Info

Publish Date
30 May 2026

Abstract

Dengue fever remains a major public health concern in tropical and subtropical regions, where transmission dynamics are strongly influenced by environmental variability and human mobil ity. Mathematical modelling provides a rigorous framework for capturing these interactions and informing effective control strategies.This review presents recent advances in deterministic and spatially structured dengue transmission models that incorporate temperature-dependent parameters and human mo bility. Emphasis is placed on compartmental formulations, including multi-patch and meta population models, where movement between regions plays a key role in disease spread. The influence of temperature on key epidemiological parameters, such as mosquito biting rates, development rates, and survival probabilities, is examined through nonlinear functional relationships.In addition, common analytical approaches are discussed, including the derivation of the basic reproduction number, stability analysis of equilibria, and sensitivity analysis. The integration of control strategies within these frameworks is also reviewed, demonstrating how intervention policies can be evaluated under varying environmental and mobility conditions.Overall, the review highlights the importance of combining environmental and spatial effects to better understand dengue transmission and support adaptive control strategies.

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Journal Info

Abbrev

Math

Publisher

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...