We develop and analyze a deterministic ordinary differential equation mathematical model for the within-mosquito dynamics of the Plasmodium falciparum malaria parasite. Our model takes into account the action and effect of blood resident human-antibodies, ingested by the mosquito during a blood meal from humans, in inhibiting gamete fertilization. The model also captures subsequent developmental processes that lead to the different forms of the parasite within the mosquito. Continuous functions are used to model the switching transition from oocyst to sporozoites as well as human antibody density variations within the mosquito gut are proposed and used. In sum, our model integrates the developmental stages of the parasite within the mosquito such as gametogenesis, fertilization and sporogenesis culminating in the formation of sporozoites. Quantitative and qualitative analyses including a sensitivity analysis for influential parameters are performed. We quantify the average sporozoite load produced at the end of the within-mosquito malaria parasite’s developmental stages. Our analysis shows that an increase in the efficiency of the ingested human antibodies in inhibiting fertilization within the mosquito’s gut results in lowering the density of oocysts and hence sporozoites that are eventually produced by each mosquito vector. So, it is possible to control and limit oocysts development and hence sporozoites development within a mosquito by boosting the efficiency of antibodies as a pathway to the development of transmission-blocking vaccines which could potentially reduce oocysts prevalence among mosquitoes and hence reduce the transmission potential from mosquitoes to human.

我们开发和分析恶性疟原虫的蚊内动力学的确定性常微分方程数学模型疟原虫。我们的模型考虑了蚊子在取人血时摄取的血液中人类抗体在抑制配子受精中的作用和效果。该模型还捕获了导致蚊子内不同形式的寄生虫的后续发育过程。提出并使用了连续函数来模拟从卵囊到子孢子的转换过渡，以及在蚊子肠内人类抗体密度的变化。总之，我们的模型整合了蚊子中寄生虫的发育阶段，例如配子发生，受精和孢子形成，最终形成了子孢子。进行定量和定性分析，包括对影响参数的敏感性分析。我们量化在蚊子内部疟疾寄生虫的发展阶段结束时产生的平均子孢子负荷。我们的分析表明，摄入人类抗体抑制蚊子肠道受精效率的提高导致卵囊密度降低，从而降低了每个蚊子载体最终产生的子孢子的密度。因此，有可能通过提高抗体的效率来控制和限制卵囊的发育，从而限制并抑制蚊子中子孢子的发育，这是发展传播阻断疫苗的一种途径，可以潜在地降低蚊子中的卵囊流行率，从而降低蚊子的传播潜力。对人类的蚊子。我们的分析表明，摄入人类抗体抑制蚊子肠道受精的效率提高，导致卵囊密度降低，从而降低了每个蚊子载体最终产生的子孢子的密度。因此，有可能通过提高抗体的效率来控制和限制卵囊的发育，从而限制并抑制蚊子中子孢子的发育，这是发展传播阻断疫苗的一种途径，可以潜在地降低蚊子中的卵囊流行率，从而降低蚊子的传播潜力。对人类的蚊子。我们的分析表明，摄入人类抗体抑制蚊子肠道受精的效率提高，导致卵囊密度降低，从而降低了每个蚊子载体最终产生的子孢子的密度。因此，有可能通过提高抗体的效率来控制和限制卵囊的发育，从而限制并抑制蚊子中子孢子的发育，这是发展传播阻断疫苗的一种途径，可以潜在地降低蚊子中的卵囊流行率，从而降低蚊子的传播潜力。对人类的蚊子。