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20242026
most citedA cytokine-enhanced viral infection model with CTL immune response, distributed delay and saturation incidence

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.DS2026

Stability and Hopf Bifurcation of a Delayed SVIRS Epidemic Model with Media Coverage

Songbo Hou, Xinxin Tian

This paper formulates and analyzes a delayed SVIRS epidemic model incorporating media coverage effects, vaccination, waning immunity, temporary post-recovery immunity, saturated tr…

math.DS2025

Stability and Hopf bifurcation analysis of an age-structured SVIRS epidemic model with temporary immunity

Songbo Hou, Xinxin Tian

In this paper, we investigate an SVIRS epidemic model that incorporates both temporary immunity and an age-structured recovery process. By reformulating the system as a non-densely…

math.AP2025

Existence and asymptotic analysis of topological solutions for generalized Chern--Simons equations on discrete lattice graphs

Songbo Hou

We study a class of generalized Chern-Simons equations on discrete lattice graphs. By an iterative scheme combined with an exhaustion argument, we establish the existence of topolo…

math.DS2025

Stability and Hopf bifurcation analysis of an HIV infection model with latent reservoir, immune impairment and delayed CTL immune response

Songbo Hou, Xinxin Tian

In this paper, we develop a dynamic model of HIV infection that incorporates latent hosts, cytotoxic T lymphocyte (CTL) immunity, saturated incidence rates, and two transmission me…

math.AP2024

On topological solutions to a generalized Chern-Simons equation on lattice graphs

Songbo Hou, Xiaoqing Kong

For , consider as a lattice graph. We explore a generalized Chern-Simons equation on . Employing the method of exhaustion, we prove that ther…

math.DS2024★ 1 cited

A cytokine-enhanced viral infection model with CTL immune response, distributed delay and saturation incidence

Xiaodong Cao, Songbo Hou, Xiaoqing Kong

In this paper, we propose a delayed cytokine-enhanced viral infection model incorporating saturation incidence and immune response. We compute the basic reproduction numbers and in…