Mathematical and Theoretical Epidemiology and Ecology Models

We consider a two-component semilinear reaction-diffusion system in a bounded spatial domain $Ω$ over a time interval $(0,T)$, which governs the water density $u(x,t)$ and the vegetation biomass density $v(x,t)$ for $x\inΩ$ and $0

In this paper, we develop an integrated modeling framework for tuberculosis (TB) and type 2 diabetes (T2D) comorbidity. We combine an SVEIR TB model with a population-level progression model of type 2 diabetes to capture the full comorbidity feedback loop, which has rarely been addressed in the literature. Our analysi…

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The fractional Belousov–Zhabotinsky system (BZS) is an important reaction–diffusion model used to describe oscillatory chemical reactions, pattern formation, and memory‐dependent dynamical processes arising in chemistry and related applied sciences. The main objective of this study is to investigate the analytical pro…

In this study, single-patch and two-patch mathematical models are developed to investigate the progression of measles. First, the parameters of the single-patch model are estimated based on available data. The simulation results for the single-patch model show good agreement with real data. Additionally, the parameter…

The Allee effect is an important biological concept with a long history and broad interdisciplinary reach into mathematics and related fields. In this brief Perspective, we examine the pronounced mismatch between the limited evidence for Allee effects in the real world and the intense attention they receive in the the…

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We consider a general Leslie type prey-predator system involving harvesting and refuge effects. In the model, we use a general function to define how the population of prey grows. In this paper, we explore dynamical behavior of this system by taking three different growth forms for prey, namely, (a) exponential growth…

​In this paper, we propose and analyse a delayed-compartmental mathematical model of prostate cancer dynamics that incorporates vertical transmission and therapeutic intervention. The population is stratified into five compartments: susceptible (S), infected/virally activated (I), asymptomatic infectious under treatme…

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