Global analysis of a mathematical model on malaria with competitive strains and immune responses
From MaRDI portal
Publication:1636828
DOI10.1016/j.amc.2015.02.073zbMath1390.92134OpenAlexW2033920248MaRDI QIDQ1636828
Hongyan Chen, Wendi Wang, Jianfeng Luo, Rui Fu
Publication date: 7 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.073
Epidemiology (92D30) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)
Related Items (8)
An efficient numerical simulation of a reaction-diffusion malaria infection model using B-splines collocation ⋮ Global dynamics of an age-structured malaria model with prevention ⋮ Differential preferences for RBCs is key for Plasmodium species evolutionary diversity within human host ⋮ Global dynamics of SARS-CoV-2/malaria model with antibody immune response ⋮ Global analysis of a reaction–diffusion blood-stage malaria model with immune response ⋮ Simulation-Based Study of Biological Systems with Threshold Policy by a Differential Linear Complementarity System ⋮ A spectrally accurate time-space pseudospectral method for reaction-diffusion malaria infection model ⋮ Bifurcation analysis of a non-smooth prey-predator model by a differential linear complementarity system
Cites Work
- An HIV infection model based on a vectored immunoprophylaxis experiment
- Mathematical analysis of a general class of ordinary differential equations coming from within-hosts models of malaria with immune effectors
- Complete classification of global dynamics of a virus model with immune responses
- Periodicity and synchronization in blood-stage malaria infection
- Conflicting immune responses can prolong the length of infection in Plasmodium falciparum malaria
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Oscillations in an intra-host model of Plasmodium falciparum malaria due to cross-reactive immune response
- Introduction to functional differential equations
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Construction of Lyapunov functionals for delay differential equations in virology and epidemiology
- The within-host dynamics of malaria infection with immune response
- Dynamic regulation of single- and mixed-species malaria infection: insights to specific and non-specific mechanisms of control
- Dynamics of an HIV-1 infection model with cell mediated immunity
- On global stability of the intra-host dynamics of malaria and the immune system
- Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
- Persistence in Infinite-Dimensional Systems
- Competitive Exclusion in Delayed Chemostat Models with Differential Removal Rates
- Global Analysis of New Malaria Intrahost Models with a Competitive Exclusion Principle
- Immune response to a malaria infection: properties of a mathematical model
- Can Multiple Malaria Species Co-persist?
- An Age-Structured Within-Host Model for Multistrain Malaria Infections
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
- Dynamical systems in population biology
This page was built for publication: Global analysis of a mathematical model on malaria with competitive strains and immune responses
