Globally, there is a widespread awareness of poverty-related challenges. It's important to acknowledge that poverty is one of the key factors influencing prostitution. Addressing the rise in prostitution due to economic challenges is a major concern among the general public. In that scenario, many poor family girls/women were ready to downgrade their status for their family welfare and necessary needs. On that aspect, they are indulging in prostitution also because of their inability to do any other work. Particularly in the pandemic and lockdown, the situation is worsening for such people. To overcome these challenges, multi-angled and effective approaches have been adopted. We have formulated a nonlinear mathematical model to investigate the dynamics around prostitution due to impoverishment. Our model exhibits two equilibrium points, which are analyzed through a stability analysis. The threshold has determined and investigated its significant parameters for the spread of prostitution through numerical simulation. Further, we extended this model to a stochastic model to know its real nature. We have examined and contrasted the deterministic and stochastic outcomes pertaining to the behavior of significant parameters within this model. Our findings show better results in both the deterministic and stochastic natures. Moreover, we calibrated our model using data on sex workers. Our projections, derived from this fitting process, suggest a subsequent decline in the sex-worker population after 2023.

中文翻译：

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对贫困影响下卖淫盛行率进行建模：确定性方法与随机方法


在全球范围内，人们普遍认识到与贫困有关的挑战。重要的是要承认贫困是影响卖淫的关键因素之一。解决因经济挑战而导致卖淫增加的问题是公众关注的主要问题。在这种情况下，许多贫困家庭的女孩/妇女准备为了家庭福利和必要需求而降低自己的地位。从这方面来说，她们沉迷于卖淫也是因为她们无法从事任何其他工作。特别是在大流行和封锁期间，这些人的情况正在恶化。为了克服这些挑战，采取了多角度、有效的方法。我们制定了一个非线性数学模型来研究贫困导致的卖淫动态。我们的模型表现出两个平衡点，通过稳定性分析对其进行分析。该阈值通过数值模拟确定并研究了其对卖淫蔓延的重要参数。此外，我们将该模型扩展到随机模型以了解其真实本质。我们检查并对比了与该模型中重要参数的行为有关的确定性和随机结果。我们的研究结果显示在确定性和随机性方面都有更好的结果。此外，我们使用性工作者的数据校准了我们的模型。我们从这一拟合过程中得出的预测表明，2023 年之后性工作者人数将随之下降。